Objetivo

Nuestro objetivo es detectar a través de diferentes técnias de machine learning, aquellas páginas web que tratan de llevar a cabo la técnica de engaño “phishing”.

Librerías

Cargamos la librerías que usaremos a lo largo de todo el trabajo.

library(tidymodels)
library(tidyverse)
library(outliers)
library(skimr)
library(ggthemes)
library(corrr)
library(themis)
library(knitr)
library(kableExtra)

Datos

Cargamos los datos brutos.

phishing_bruto <- 
  read.csv("dataset_full.csv")

Análisis exploratorio inicial

Comenzaremos observando la estructura de nuestros datos y obteniendo una visión general de nuestras variables, donde también nos centraremos en como se distribuyen los niveles de nuestra objetivo (phishing).

glimpse(phishing_bruto)

Rows: 88,647
Columns: 112
$ qty_dot_url                <int> 3, 5, 2, 4, 2, 1, 2, 2, 2, 1, 2, …
$ qty_hyphen_url             <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, …
$ qty_underline_url          <int> 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, …
$ qty_slash_url              <int> 1, 3, 1, 5, 0, 2, 0, 3, 0, 2, 0, …
$ qty_questionmark_url       <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_equal_url              <int> 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_at_url                 <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_and_url                <int> 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_exclamation_url        <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_space_url              <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_tilde_url              <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_comma_url              <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_plus_url               <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_asterisk_url           <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_hashtag_url            <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_dollar_url             <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_percent_url            <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_tld_url                <int> 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, …
$ length_url                 <int> 25, 223, 15, 81, 19, 22, 27, 46, …
$ qty_dot_domain             <int> 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, …
$ qty_hyphen_domain          <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, …
$ qty_underline_domain       <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_slash_domain           <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_questionmark_domain    <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_equal_domain           <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_at_domain              <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_and_domain             <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_exclamation_domain     <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_space_domain           <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_tilde_domain           <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_comma_domain           <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_plus_domain            <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_asterisk_domain        <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_hashtag_domain         <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_dollar_domain          <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_percent_domain         <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_vowels_domain          <int> 4, 5, 3, 7, 5, 4, 9, 9, 3, 4, 5, …
$ domain_length              <int> 17, 16, 14, 19, 19, 17, 27, 28, 1…
$ domain_in_ip               <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ server_client_domain       <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ qty_dot_directory          <int> 1, 3, 0, 2, -1, 0, -1, 0, -1, 0, …
$ qty_hyphen_directory       <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_underline_directory    <int> 0, 0, 0, 2, -1, 0, -1, 0, -1, 0, …
$ qty_slash_directory        <int> 1, 3, 1, 5, -1, 2, -1, 3, -1, 2, …
$ qty_questionmark_directory <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_equal_directory        <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_at_directory           <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_and_directory          <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_exclamation_directory  <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_space_directory        <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_tilde_directory        <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_comma_directory        <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_plus_directory         <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_asterisk_directory     <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_hashtag_directory      <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_dollar_directory       <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_percent_directory      <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ directory_length           <int> 8, 42, 1, 62, -1, 5, -1, 18, -1, …
$ qty_dot_file               <int> 1, 1, 0, 1, -1, 0, -1, 0, -1, 0, …
$ qty_hyphen_file            <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_underline_file         <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_slash_file             <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_questionmark_file      <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_equal_file             <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_at_file                <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_and_file               <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_exclamation_file       <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_space_file             <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_tilde_file             <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_comma_file             <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_plus_file              <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_asterisk_file          <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_hashtag_file           <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_dollar_file            <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ qty_percent_file           <int> 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, …
$ file_length                <int> 7, 9, 0, 9, -1, 0, -1, 2, -1, 0, …
$ qty_dot_params             <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_hyphen_params          <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_underline_params       <int> -1, 1, -1, -1, -1, -1, -1, -1, -1…
$ qty_slash_params           <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_questionmark_params    <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_equal_params           <int> -1, 3, -1, -1, -1, -1, -1, -1, -1…
$ qty_at_params              <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_and_params             <int> -1, 2, -1, -1, -1, -1, -1, -1, -1…
$ qty_exclamation_params     <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_space_params           <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_tilde_params           <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_comma_params           <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_plus_params            <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_asterisk_params        <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_hashtag_params         <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_dollar_params          <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_percent_params         <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ params_length              <int> -1, 165, -1, -1, -1, -1, -1, -1, …
$ tld_present_params         <int> -1, 0, -1, -1, -1, -1, -1, -1, -1…
$ qty_params                 <int> -1, 3, -1, -1, -1, -1, -1, -1, -1…
$ email_in_url               <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ time_response              <dbl> 0.207316, 0.499566, 0.935901, 0.4…
$ domain_spf                 <int> 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0…
$ asn_ip                     <int> 60781, 36024, 4766, 20454, 53831,…
$ time_domain_activation     <int> -1, 579, -1, -1, 6998, 9, -1, -1,…
$ time_domain_expiration     <int> -1, 150, -1, -1, 306, 355, -1, -1…
$ qty_ip_resolved            <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, …
$ qty_nameservers            <int> 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, …
$ qty_mx_servers             <int> 0, 1, 3, 0, 1, 3, 2, 1, 2, 1, 1, …
$ ttl_hostname               <int> 892, 9540, 589, 292, 3597, 3591, …
$ tls_ssl_certificate        <int> 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, …
$ qty_redirects              <int> 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, …
$ url_google_index           <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ domain_google_index        <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ url_shortened              <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ phishing                   <int> 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, …

Como podemos ver a través de la función glimpse(), tenemos 88647 registros y 112 variables. Por otra parte todas nuestras variables son números enteros (int) excepto una que es de tipo decimal (dbl) de time_response. Referente a su significado, la mayoría de nuestras predictoras representan cantidades, en este caso, de caracteres en una URL.

Con la función skim() podemos obtener estadísticas básicas sobre nuestros datos de

skim(phishing_bruto)

Table 1: Data summary
Name	phishing_bruto
Number of rows	88647
Number of columns	112
_______________________
Column type frequency:
numeric	112
________________________
Group variables	None

Variable type: numeric

skim_variable	complete_rate	mean	sd	p0	p25	p50	p75	p100	hist
qty_dot_url	1	2.19	1.24	1	2.00	2.00	2.00	24.0	▇▁▁▁▁
qty_hyphen_url	1	0.33	1.12	0	0.00	0.00	0.00	35.0	▇▁▁▁▁
qty_underline_url	1	0.11	0.66	0	0.00	0.00	0.00	21.0	▇▁▁▁▁
qty_slash_url	1	1.28	1.89	0	0.00	0.00	2.00	44.0	▇▁▁▁▁
qty_questionmark_url	1	0.01	0.11	0	0.00	0.00	0.00	9.0	▇▁▁▁▁
qty_equal_url	1	0.21	0.95	0	0.00	0.00	0.00	23.0	▇▁▁▁▁
qty_at_url	1	0.02	0.28	0	0.00	0.00	0.00	43.0	▇▁▁▁▁
qty_and_url	1	0.14	0.92	0	0.00	0.00	0.00	26.0	▇▁▁▁▁
qty_exclamation_url	1	0.00	0.09	0	0.00	0.00	0.00	10.0	▇▁▁▁▁
qty_space_url	1	0.00	0.07	0	0.00	0.00	0.00	9.0	▇▁▁▁▁
qty_tilde_url	1	0.00	0.08	0	0.00	0.00	0.00	5.0	▇▁▁▁▁
qty_comma_url	1	0.00	0.08	0	0.00	0.00	0.00	11.0	▇▁▁▁▁
qty_plus_url	1	0.00	0.11	0	0.00	0.00	0.00	19.0	▇▁▁▁▁
qty_asterisk_url	1	0.00	0.30	0	0.00	0.00	0.00	60.0	▇▁▁▁▁
qty_hashtag_url	1	0.00	0.06	0	0.00	0.00	0.00	13.0	▇▁▁▁▁
qty_dollar_url	1	0.00	0.10	0	0.00	0.00	0.00	10.0	▇▁▁▁▁
qty_percent_url	1	0.11	1.72	0	0.00	0.00	0.00	174.0	▇▁▁▁▁
qty_tld_url	1	1.05	0.25	0	1.00	1.00	1.00	12.0	▇▁▁▁▁
length_url	1	36.35	46.19	4	17.00	22.00	38.00	4165.0	▇▁▁▁▁
qty_dot_domain	1	1.87	0.71	0	1.00	2.00	2.00	21.0	▇▁▁▁▁
qty_hyphen_domain	1	0.11	0.42	0	0.00	0.00	0.00	11.0	▇▁▁▁▁
qty_underline_domain	1	0.00	0.03	0	0.00	0.00	0.00	3.0	▇▁▁▁▁
qty_slash_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_questionmark_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_equal_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_at_domain	1	0.00	0.00	0	0.00	0.00	0.00	1.0	▇▁▁▁▁
qty_and_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_exclamation_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_space_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_tilde_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_comma_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_plus_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_asterisk_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_hashtag_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_dollar_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_percent_domain	1	0.00	0.00	0	0.00	0.00	0.00	0.0	▁▁▇▁▁
qty_vowels_domain	1	5.44	2.54	0	4.00	5.00	7.00	61.0	▇▁▁▁▁
domain_length	1	18.56	6.60	4	14.00	18.00	22.00	231.0	▇▁▁▁▁
domain_in_ip	1	0.00	0.05	0	0.00	0.00	0.00	1.0	▇▁▁▁▁
server_client_domain	1	0.00	0.07	0	0.00	0.00	0.00	1.0	▇▁▁▁▁
qty_dot_directory	1	-0.32	0.90	-1	-1.00	-1.00	0.00	19.0	▇▁▁▁▁
qty_hyphen_directory	1	-0.36	1.10	-1	-1.00	-1.00	0.00	23.0	▇▁▁▁▁
qty_underline_directory	1	-0.48	0.68	-1	-1.00	-1.00	0.00	17.0	▇▁▁▁▁
qty_slash_directory	1	0.71	2.22	-1	-1.00	-1.00	2.00	22.0	▇▁▁▁▁
qty_questionmark_directory	1	-0.54	0.50	-1	-1.00	-1.00	0.00	0.0	▇▁▁▁▇
qty_equal_directory	1	-0.53	0.52	-1	-1.00	-1.00	0.00	5.0	▇▁▁▁▁
qty_at_directory	1	-0.53	0.55	-1	-1.00	-1.00	0.00	43.0	▇▁▁▁▁
qty_and_directory	1	-0.53	0.54	-1	-1.00	-1.00	0.00	26.0	▇▁▁▁▁
qty_exclamation_directory	1	-0.53	0.50	-1	-1.00	-1.00	0.00	9.0	▇▁▁▁▁
qty_space_directory	1	-0.54	0.50	-1	-1.00	-1.00	0.00	9.0	▇▁▁▁▁
qty_tilde_directory	1	-0.53	0.51	-1	-1.00	-1.00	0.00	5.0	▇▁▁▁▁
qty_comma_directory	1	-0.54	0.50	-1	-1.00	-1.00	0.00	5.0	▇▁▁▁▁
qty_plus_directory	1	-0.53	0.51	-1	-1.00	-1.00	0.00	19.0	▇▁▁▁▁
qty_asterisk_directory	1	-0.53	0.58	-1	-1.00	-1.00	0.00	60.0	▇▁▁▁▁
qty_hashtag_directory	1	-0.54	0.50	-1	-1.00	-1.00	0.00	0.0	▇▁▁▁▇
qty_dollar_directory	1	-0.53	0.51	-1	-1.00	-1.00	0.00	10.0	▇▁▁▁▁
qty_percent_directory	1	-0.48	1.53	-1	-1.00	-1.00	0.00	174.0	▇▁▁▁▁
directory_length	1	10.86	24.35	-1	-1.00	-1.00	16.00	1286.0	▇▁▁▁▁
qty_dot_file	1	-0.37	0.77	-1	-1.00	-1.00	0.00	12.0	▇▁▁▁▁
qty_hyphen_file	1	-0.48	0.80	-1	-1.00	-1.00	0.00	21.0	▇▁▁▁▁
qty_underline_file	1	-0.51	0.60	-1	-1.00	-1.00	0.00	17.0	▇▁▁▁▁
qty_slash_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	0.0	▇▁▁▁▇
qty_questionmark_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	0.0	▇▁▁▁▇
qty_equal_file	1	-0.53	0.50	-1	-1.00	-1.00	0.00	3.0	▇▇▁▁▁
qty_at_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	2.0	▇▇▁▁▁
qty_and_file	1	-0.53	0.50	-1	-1.00	-1.00	0.00	3.0	▇▇▁▁▁
qty_exclamation_file	1	-0.53	0.50	-1	-1.00	-1.00	0.00	4.0	▇▁▁▁▁
qty_space_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	9.0	▇▁▁▁▁
qty_tilde_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	4.0	▇▁▁▁▁
qty_comma_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	5.0	▇▁▁▁▁
qty_plus_file	1	-0.54	0.51	-1	-1.00	-1.00	0.00	19.0	▇▁▁▁▁
qty_asterisk_file	1	-0.53	0.55	-1	-1.00	-1.00	0.00	60.0	▇▁▁▁▁
qty_hashtag_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	0.0	▇▁▁▁▇
qty_dollar_file	1	-0.54	0.50	-1	-1.00	-1.00	0.00	0.0	▇▁▁▁▇
qty_percent_file	1	-0.50	1.44	-1	-1.00	-1.00	0.00	174.0	▇▁▁▁▁
file_length	1	2.74	13.57	-1	-1.00	-1.00	0.00	1232.0	▇▁▁▁▁
qty_dot_params	1	-0.81	0.98	-1	-1.00	-1.00	-1.00	23.0	▇▁▁▁▁
qty_hyphen_params	1	-0.88	0.63	-1	-1.00	-1.00	-1.00	35.0	▇▁▁▁▁
qty_underline_params	1	-0.86	0.66	-1	-1.00	-1.00	-1.00	21.0	▇▁▁▁▁
qty_slash_params	1	-0.89	0.55	-1	-1.00	-1.00	-1.00	43.0	▇▁▁▁▁
qty_questionmark_params	1	-0.91	0.32	-1	-1.00	-1.00	-1.00	9.0	▇▁▁▁▁
qty_equal_params	1	-0.73	1.11	-1	-1.00	-1.00	-1.00	23.0	▇▁▁▁▁
qty_at_params	1	-0.90	0.36	-1	-1.00	-1.00	-1.00	10.0	▇▁▁▁▁
qty_and_params	1	-0.79	1.02	-1	-1.00	-1.00	-1.00	22.0	▇▁▁▁▁
qty_exclamation_params	1	-0.92	0.28	-1	-1.00	-1.00	-1.00	10.0	▇▁▁▁▁
qty_space_params	1	-0.92	0.28	-1	-1.00	-1.00	-1.00	4.0	▇▁▁▁▁
qty_tilde_params	1	-0.92	0.28	-1	-1.00	-1.00	-1.00	1.0	▇▁▁▁▁
qty_comma_params	1	-0.91	0.29	-1	-1.00	-1.00	-1.00	11.0	▇▁▁▁▁
qty_plus_params	1	-0.91	0.29	-1	-1.00	-1.00	-1.00	6.0	▇▁▁▁▁
qty_asterisk_params	1	-0.92	0.28	-1	-1.00	-1.00	-1.00	4.0	▇▁▁▁▁
qty_hashtag_params	1	-0.92	0.28	-1	-1.00	-1.00	-1.00	0.0	▇▁▁▁▁
qty_dollar_params	1	-0.92	0.28	-1	-1.00	-1.00	-1.00	4.0	▇▁▁▁▁
qty_percent_params	1	-0.86	1.05	-1	-1.00	-1.00	-1.00	65.0	▇▁▁▁▁
params_length	1	5.27	34.94	-1	-1.00	-1.00	-1.00	4094.0	▇▁▁▁▁
tld_present_params	1	-0.89	0.38	-1	-1.00	-1.00	-1.00	1.0	▇▁▁▁▁
qty_params	1	-0.76	0.94	-1	-1.00	-1.00	-1.00	23.0	▇▁▁▁▁
email_in_url	1	0.02	0.13	0	0.00	0.00	0.00	1.0	▇▁▁▁▁
time_response	1	0.79	1.47	-1	0.24	0.47	0.87	38.4	▇▁▁▁▁
domain_spf	1	-0.02	0.56	-1	0.00	0.00	0.00	1.0	▂▁▇▁▂
asn_ip	1	31131.15	45261.50	-1	13335.00	20013.00	34922.00	395754.0	▇▁▁▁▁
time_domain_activation	1	3389.68	3044.17	-1	-1.00	3046.00	6423.00	17775.0	▇▅▂▁▁
time_domain_expiration	1	352.04	598.26	-1	-1.00	168.00	354.00	22574.0	▇▁▁▁▁
qty_ip_resolved	1	1.14	0.90	-1	1.00	1.00	1.00	24.0	▇▁▁▁▁
qty_nameservers	1	2.77	1.32	0	2.00	2.00	4.00	20.0	▇▁▁▁▁
qty_mx_servers	1	1.74	1.71	0	1.00	1.00	2.00	20.0	▇▁▁▁▁
ttl_hostname	1	6159.88	11465.58	-1	292.00	2029.00	10798.00	604800.0	▇▁▁▁▁
tls_ssl_certificate	1	0.51	0.50	0	0.00	1.00	1.00	1.0	▇▁▁▁▇
qty_redirects	1	0.34	0.78	-1	0.00	0.00	1.00	17.0	▇▁▁▁▁
url_google_index	1	0.00	0.06	-1	0.00	0.00	0.00	1.0	▁▁▇▁▁
domain_google_index	1	0.00	0.06	-1	0.00	0.00	0.00	1.0	▁▁▇▁▁
url_shortened	1	0.01	0.07	0	0.00	0.00	0.00	1.0	▇▁▁▁▁
phishing	1	0.35	0.48	0	0.00	0.00	1.00	1.0	▇▁▁▁▅

En una primera vista, podemos observar que en nuestras variables no tenemos ningún valor ausente. De este modo, el complete_rate de nuestras variables es siempre = 1. Por el otro lado, la función también nos muestra diferentes estadísticos descriptivos de nuestras variables, como los percentiles, media y desviación típica. Fijándonos en sus valores, y teniendo en cuenta que la mayoría de nuestras variables hacen referencia a cantidades de caracteres o a tiempos de espera de una página web, era de esperar que no tengamos demasiada dispersión en nuestros datos.

Por último, podemos ver como está distribuída nuestra variable objetivo dentro de nuestro conjunto de datos.

phishing_bruto |> count(phishing) |> 
  mutate(porc = n*100/sum(n))

  phishing     n     porc
1        0 58000 65.42805
2        1 30647 34.57195

Como podemos ver, nuestra variable objetivo es de tipo binario, tomando valores 0 y 1. En este caso, el 1 nos indica que la URL en cuestión se corresponde a una web destinada al phishing y cuando toma el valor 0, que esto no es así. Si nos fijamos en sus proporciones, vemos que en el 65,4% de los casos, la página web no es de phishing, y en el 34,6% sí lo es. Por otra parte, esta variable representa una categoría, por lo que antes de comenzar con nuestra metodología, es conveniente transformar esta variable previamente a factor para poder realizar una buena exploración.

phishing_bruto <-
  phishing_bruto |> mutate(phishing = as_factor(phishing))

Fases 1-2-3 de Muestreo, Exploración y Modificación

Comenzamos con las 3 primeras fases de la metodología SEMMA.

Muestreo

La primera pregunta que debemos hacernos es, ¿Necesitamos hacer una muestra de nuestros datos?. Teniendo en cuenta que tenemos unos 89 mil registros, no realizaremos un muestreo estratificado inicial, ya que tenemos una cantidad de datos fácilmente manejable. Podríamos llegar a necesitarlo si contasemos con millones de registros, lo que nos permitiría trabajar con mayor fluidez. Por lo tanto, nos saltaremos esta primera fase.

Exploración

Procedemos a analizar las variables dividiéndolas en grupos según su naturaleza.

Variables de URL

Primero analizaremos las variables que reflejan datos acerca de la propia URL.

REVISAVariable qty_dot_url

Esta variable representa la cantidad de puntos (.) presentes en la URL.

phishing_bruto|> group_by(qty_dot_url) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 33 × 4
# Groups:   qty_dot_url [23]
   qty_dot_url phishing     n  porc
         <int> <fct>    <int> <dbl>
 1           1 0         8365  52.7
 2           1 1         7520  47.3
 3           2 0        41088  76.6
 4           2 1        12561  23.4
 5           3 0         6768  51.3
 6           3 1         6437  48.7
 7           4 0         1609  44.8
 8           4 1         1984  55.2
 9           5 0          145  14.4
10           5 1          863  85.6
# … with 23 more rows

phishing_bruto |> count(qty_dot_url) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_dot_url     n         porc     cumul
1            1 15885 17.919388135  17.91939
2            2 53649 60.519814545  78.43920
3            3 13205 14.896161179  93.33536
4            4  3593  4.053154647  97.38852
5            5  1008  1.137094318  98.52561
6            6   454  0.512143671  99.03776
7            7   217  0.244791138  99.28255
8            8   120  0.135368371  99.41792
9            9    64  0.072196465  99.49011
10          10    48  0.054147348  99.54426
11          11    32  0.036098232  99.58036
12          12    33  0.037226302  99.61758
13          13    37  0.041738581  99.65932
14          14   135  0.152289418  99.81161
15          15    86  0.097013999  99.90863
16          16    44  0.049635069  99.95826
17          17    22  0.024817535  99.98308
18          18     6  0.006768419  99.98985
19          19     1  0.001128070  99.99098
20          20     3  0.003384209  99.99436
21          22     3  0.003384209  99.99774
22          23     1  0.001128070  99.99887
23          24     1  0.001128070 100.00000

Como vemos, la variable toma valores entre 1 y 23 y la gran mayoría de sus niveles no presentan apenas el 1% de los datos totales.

# Convertimos la variable en factor
phishing_bruto <- 
  phishing_bruto |> mutate(qty_dot_url = as_factor(qty_dot_url))

Podemos realizar un gráfico de barras para ver las distribuciones con la objetivo

# Representación gráfica
ggplot(phishing_bruto, aes(x = qty_dot_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  geom_text(aes(label = ..count..), stat = "count", vjust = -0.5) +
  labs(title = "Webs de Phishing por número de puntos en la URL", 
       x = "Nº Puntos", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Variable qty_hyphen_url

Representativa del número de guiones (-) en la URL.

phishing_bruto |> group_by(qty_hyphen_url) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 51 × 4
# Groups:   qty_hyphen_url [30]
   qty_hyphen_url phishing     n  porc
            <int> <fct>    <int> <dbl>
 1              0 0        52962  72.5
 2              0 1        20104  27.5
 3              1 0         3676  34.8
 4              1 1         6897  65.2
 5              2 0          643  26.4
 6              2 1         1793  73.6
 7              3 0          162  18.0
 8              3 1          739  82.0
 9              4 0           88  17.2
10              4 1          424  82.8
# … with 41 more rows

Siguiendo con la lógica anterior, volvemos a convertir la variable a factor

phishing_bruto <- 
  phishing_bruto |> mutate(qty_hyphen_url = as_factor(qty_hyphen_url))
# Representación
ggplot(phishing_bruto, aes(x = qty_hyphen_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de guiones en la URL", 
       x = "Nº Guiones", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

La mayoría de los datos se concentran en el 0 donde la cantidad de páginas web legítimas es superior a las proporciones globales. Cuando hay más de un guión en la URL, la proporción de páginas web de phishing es superior, con unos porcentajes superiores al 65%. Existen también ciertos niveles donde la proporción de legítimas es superior, pero dado que existen muy pocos registros cuando ya contamos con un número elevado de guiones, sería mejor recategorizarlos. Atendiendo a sus proporciones y registros, y siguiendo con la lógica anterior, podemos crear dos niveles (variable binaria) haciendo nuevamente una recategorización de

Una vez llegados a este punto, y viendo que las demás variables referidas a cantidades de caracteres en las URL’s pueden seguir la misma lógica en el análisis, podriamos aplicar la misma técnica exploratoria de forma conjunta para el resto de ellas, y continuando con el método anterior, sacar posibles recategorizaciones / transformaciones en sus niveles o codificación.

Variables restantes de tipo URL

Diccionario de las variables de

qty_underline_url: cantidad de (_) en URL
qty_slash_url: cantidad de (/) en URL
qty_questionmark_url: de cantidad (?) en URL
qty_equal_url: cantidad (=) en URL
qty_at_url: cantidad de (@) en URL
qty_and_url: cantidad de (&) en URL
qty_exclamation_url: cantidad de (!) en URL
qty_space_url: cantidad de ( ) en URL
qty_tilde_url: cantidad de (~) en URL
qty_comma_url: cantidad de (,) en URL
qty_plus_url: cantidad de (+) en URL
qty_asterisk_url: cantidad de (*) en URL
qty_hashtag_url: cantidad de (#) en URL
qty_dollar_url: cantidad de ($) en URL
qty_percent_url: cantidad de (%) en URL
qty_tld_url: longitud de top-level-domain
length_url: longitud de URL
email_in_url: email presente en URL
url_google_index: URL indexada en Google o no
url_shortened: Si la URL está acortada o no

Comprobamos el número de valores únicos en estas variables:

phishing_bruto |> select(contains("URL")) |> 
  summarise_all(list(~n_distinct(.)))

  qty_dot_url qty_hyphen_url qty_underline_url qty_slash_url
1          23             30                22            25
  qty_questionmark_url qty_equal_url qty_at_url qty_and_url
1                    6            20         15          21
  qty_exclamation_url qty_space_url qty_tilde_url qty_comma_url
1                  10             8             6             8
  qty_plus_url qty_asterisk_url qty_hashtag_url qty_dollar_url
1           10               18               7             10
  qty_percent_url qty_tld_url length_url email_in_url
1              52           9        453            2
  url_google_index url_shortened
1                3             2

Convertimos las variables a factor:

phishing_bruto <-
  phishing_bruto |> mutate(qty_underline_url = as_factor(qty_underline_url),
                           qty_slash_url = as_factor(qty_slash_url),
                           qty_questionmark_url = as_factor(qty_questionmark_url),
                           qty_equal_url = as_factor(qty_equal_url),
                           qty_at_url = as_factor(qty_at_url),
                           qty_and_url = as_factor(qty_and_url),
                           qty_exclamation_url = as_factor(qty_exclamation_url),
                           qty_space_url = as_factor(qty_space_url),
                           qty_tilde_url = as_factor(qty_tilde_url),
                           qty_comma_url = as_factor(qty_comma_url),
                           qty_plus_url = as_factor(qty_plus_url),
                           qty_asterisk_url = as_factor(qty_asterisk_url),
                           qty_hashtag_url = as_factor(qty_hashtag_url),
                           qty_dollar_url = as_factor(qty_dollar_url),
                           qty_tld_url = as_factor(qty_tld_url),
                           email_in_url = as_factor(email_in_url),
                           url_google_index = as_factor(url_google_index),
                           url_shortened = as_factor(url_shortened))

Realizaremos nuestro análisis en grupos de variables que representan cantidades de caracteres específicos (qty), y después trataremos las demás variables URL de diferente naturaleza.

Para variables como length_url y qty_percent_url, evitaremos convertirla en factor para nuestro análisis, ya que toma muchos valores únicos. De esta forma, podremos hacer gráficos que proporcionan una mejor visualización para este tipo de variables, como histogramas. Una vez analizada, decidiremos si posteriormente convendría convertirla en factor también.

URL qty grupo 1

Análisis cuantitativo

# qty_underline_url
phishing_bruto |> group_by(qty_underline_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 35 × 4
# Groups:   qty_underline_url [22]
   qty_underline_url phishing     n  porc
   <fct>             <fct>    <int> <dbl>
 1 0                 0        57298  68.8
 2 0                 1        26020  31.2
 3 1                 0          416  12.6
 4 1                 1         2890  87.4
 5 2                 0          144  13.8
 6 2                 1          896  86.2
 7 3                 0           75  15.8
 8 3                 1          400  84.2
 9 4                 0           26  12.6
10 4                 1          180  87.4
# … with 25 more rows

# qty_slash_url
phishing_bruto |> group_by(qty_slash_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 36 × 4
# Groups:   qty_slash_url [25]
   qty_slash_url phishing     n  porc
   <fct>         <fct>    <int> <dbl>
 1 0             0        46762 98.4 
 2 0             1          747  1.57
 3 1             0         7045 52.1 
 4 1             1         6477 47.9 
 5 2             0         2317 28.7 
 6 2             1         5755 71.3 
 7 3             0         1223 14.6 
 8 3             1         7135 85.4 
 9 4             0          293  6.27
10 4             1         4383 93.7 
# … with 26 more rows

# qty_questionmark_url
phishing_bruto |> group_by(qty_questionmark_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 8 × 4
# Groups:   qty_questionmark_url [6]
  qty_questionmark_url phishing     n   porc
  <fct>                <fct>    <int>  <dbl>
1 0                    0        57989  66.0 
2 0                    1        29909  34.0 
3 1                    0           11   1.59
4 1                    1          682  98.4 
5 2                    1           50 100   
6 3                    1            3 100   
7 7                    1            1 100   
8 9                    1            2 100

# qty_equal_url
phishing_bruto |> group_by(qty_equal_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 34 × 4
# Groups:   qty_equal_url [20]
   qty_equal_url phishing     n  porc
   <fct>         <fct>    <int> <dbl>
 1 0             0        57304 70.5 
 2 0             1        24035 29.5 
 3 1             0          390 11.1 
 4 1             1         3124 88.9 
 5 2             0          121  9.75
 6 2             1         1120 90.2 
 7 3             0          121  9.10
 8 3             1         1208 90.9 
 9 4             0           40 14.9 
10 4             1          229 85.1 
# … with 24 more rows

Visualización:

# qty_underline_url
ggplot(phishing_bruto, aes(x = qty_underline_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (_) en la URL", 
       x = "Nº de (_)", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_slash_url
ggplot(phishing_bruto, aes(x = qty_slash_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (/) en la URL", 
       x = "Nº de (/)", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal() + coord_flip()

# qty_questionmark_url
ggplot(phishing_bruto, aes(x = qty_questionmark_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (?) en la URL", 
       x = "Nº de (?)", y = "Recuento", fill = "Phishing") +
    geom_text(aes(label = ..count..), stat = "count", vjust = 1, hjust = -0.2) +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal() + coord_flip()

# qty_equal_url
ggplot(phishing_bruto, aes(x = qty_equal_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (=) en la URL", 
       x = "Nº de (=)", y = "Recuento", fill = "Phishing") +
  scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_underline_url: La distribución con la objetivo es muy similar a la variable de número de guiones. Cuando las “barra bajas” son 0 en la URL, la proporción de páginas web legítimas es ligeramente superior a la global, y cuando es mayor que 0, la proporción de phishing es considerablemente superior y contamos con muy pocos registros -> Recategorizamos: 0, >0.
qty_slash_url: Si nos fijamos en sus proporciones, podemos distinguir 4 tramos diferenciales, ya que cuando el numero de (/) es 0, no tenemos apenas webs de phishing. Cuando encontramos un (/), el porcentaje de phishing asciende al 47%, cuando es = 2 tenemos un 71% y cuando son 3, la proporción es del 85%. A partir de ese valor, el número de registros es considerablemente menor como para ser reagrupado en una categoría conjunta donde la proporción de phishing estaría sobre el 90%. Teniendo esto en cuenta, podríamos reagrupar estos últimos niveles junto con el número de (/) = 3, y de esta forma tener 4 niveles con proporciones diferenciadas: 0, 1, 2, >2.
qty_questionmark_url: Dadas sus proporciones, claramente convendría transformar esta variable en binaria, con los siguiente niveles: 0, >0.
qty_equal_url: Encontramos dos tramos diferenciales: cuando el número de (=) es 0, la proporción de webs legítimas es del 70%, y cuando aparece almenos uno, el porcentaje desciende en torno al 10%. Una vez más, tenemos muchos más niveles con muy pocos registros donde el número de webs de phishing predomina. De este modo, y siguiendo con la lógica anterior, crearemos dos niveles recategorizando: 0, >0.

URL qty grupo 2

Análisis cuantitativo:

# qty_at_url
phishing_bruto |> group_by(qty_at_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 17 × 4
# Groups:   qty_at_url [15]
   qty_at_url phishing     n    porc
   <fct>      <fct>    <int>   <dbl>
 1 0          0        57998  66.7  
 2 0          1        28939  33.3  
 3 1          0            2   0.120
 4 1          1         1659  99.9  
 5 2          1           20 100    
 6 3          1            6 100    
 7 4          1            7 100    
 8 5          1            3 100    
 9 6          1            2 100    
10 7          1            1 100    
11 8          1            1 100    
12 10         1            2 100    
13 11         1            1 100    
14 12         1            1 100    
15 14         1            1 100    
16 15         1            2 100    
17 43         1            2 100

# qty_and_url
phishing_bruto |> group_by(qty_and_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 34 × 4
# Groups:   qty_and_url [21]
   qty_and_url phishing     n  porc
   <fct>       <fct>    <int> <dbl>
 1 0           0        57691 68.0 
 2 0           1        27158 32.0 
 3 1           0          121 10.3 
 4 1           1         1054 89.7 
 5 2           0          122  9.28
 6 2           1         1193 90.7 
 7 3           0           42 16.2 
 8 3           1          217 83.8 
 9 4           0            5  3.62
10 4           1          133 96.4 
# … with 24 more rows

# qty_exclamation_url
phishing_bruto |> group_by(qty_exclamation_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 12 × 4
# Groups:   qty_exclamation_url [10]
   qty_exclamation_url phishing     n  porc
   <fct>               <fct>    <int> <dbl>
 1 0                   0        57950  65.5
 2 0                   1        30504  34.5
 3 1                   0           50  29.9
 4 1                   1          117  70.1
 5 2                   1           16 100  
 6 3                   1            2 100  
 7 4                   1            1 100  
 8 5                   1            2 100  
 9 6                   1            1 100  
10 8                   1            1 100  
11 9                   1            2 100  
12 10                  1            1 100

# qty_space_url
phishing_bruto |> group_by(qty_space_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 9 × 4
# Groups:   qty_space_url [8]
  qty_space_url phishing     n  porc
  <fct>         <fct>    <int> <dbl>
1 0             0        58000  65.5
2 0             1        30613  34.5
3 1             1           20 100  
4 2             1            3 100  
5 3             1            3 100  
6 4             1            2 100  
7 6             1            1 100  
8 7             1            2 100  
9 9             1            3 100

Visualización:

# qty_at_url
ggplot(phishing_bruto, aes(x = qty_at_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (@) en la URL", 
       x = "Nº de (@)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_and_url
ggplot(phishing_bruto, aes(x = qty_and_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (&) en la URL", 
       x = "Nº de (&)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_exclamation_url
ggplot(phishing_bruto, aes(x = qty_exclamation_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (!) en la URL", 
       x = "Nº de (!)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
    geom_text(aes(label = ..count..), stat = "count", vjust = -0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_space_url
ggplot(phishing_bruto, aes(x = qty_space_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de espacios en la URL", 
       x = "Nº de espacios", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
    geom_text(aes(label = ..count..), stat = "count", vjust = -0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_at_url: Casi la totalidad de los registros está en el nivel 0 donde las proporciones son similares a las globales en cuanto a la objetivo. A partir de este valor, aparte de apenas tener observaciones, el porcentaje de phishing es muy elevado, por lo que convertiremos esta variable en binaria: 0, >0.
qty_and_url: Relativo a sus proporciones de phishing y legítimas y al número de registros, sucede lo mismo que con la anterior variable. Aplicamos la misma lógica: 0, >0.
qty_exclamation_url: Sucede lo mismo que en los casos anteriores: 0, >0.
qty_space_url: Una vez más: 0, >0

URL qty grupo 3

Análisis cuantitativo:

# qty_tilde_url
phishing_bruto |> group_by(qty_tilde_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 10 × 4
# Groups:   qty_tilde_url [6]
   qty_tilde_url phishing     n   porc
   <fct>         <fct>    <int>  <dbl>
 1 0             0        57986  65.6 
 2 0             1        30444  34.4 
 3 1             0           12   6.42
 4 1             1          175  93.6 
 5 2             1            5 100   
 6 3             0            1   5.88
 7 3             1           16  94.1 
 8 4             0            1  50   
 9 4             1            1  50   
10 5             1            6 100

# qty_comma_url
phishing_bruto |> group_by(qty_comma_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 11 × 4
# Groups:   qty_comma_url [8]
   qty_comma_url phishing     n   porc
   <fct>         <fct>    <int>  <dbl>
 1 0             0        57986  65.5 
 2 0             1        30537  34.5 
 3 1             0            4   4.12
 4 1             1           93  95.9 
 5 2             1            2 100   
 6 3             0           10  50   
 7 3             1           10  50   
 8 4             1            2 100   
 9 5             1            1 100   
10 7             1            1 100   
11 11            1            1 100

# qty_plus_url
phishing_bruto |> group_by(qty_plus_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 15 × 4
# Groups:   qty_plus_url [10]
   qty_plus_url phishing     n  porc
   <fct>        <fct>    <int> <dbl>
 1 0            0        57931  65.4
 2 0            1        30587  34.6
 3 1            0           57  64.0
 4 1            1           32  36.0
 5 2            0            5  29.4
 6 2            1           12  70.6
 7 3            1            7 100  
 8 4            0            2  40  
 9 4            1            3  60  
10 5            0            1  33.3
11 5            1            2  66.7
12 6            1            4 100  
13 7            0            1 100  
14 9            0            2 100  
15 19           0            1 100

# qty_asterisk_url
phishing_bruto |> group_by(qty_asterisk_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 19 × 4
# Groups:   qty_asterisk_url [18]
   qty_asterisk_url phishing     n  porc
   <fct>            <fct>    <int> <dbl>
 1 0                0        58000  65.5
 2 0                1        30588  34.5
 3 1                1           18 100  
 4 2                1           11 100  
 5 3                1            3 100  
 6 4                1            6 100  
 7 5                1            1 100  
 8 6                1            1 100  
 9 7                1            1 100  
10 8                1            2 100  
11 9                1            3 100  
12 10               1            1 100  
13 12               1            1 100  
14 14               1            3 100  
15 19               1            1 100  
16 20               1            3 100  
17 21               1            1 100  
18 22               1            2 100  
19 60               1            1 100

Visualización:

# qty_tilde_url
ggplot(phishing_bruto, aes(x = qty_tilde_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (~) en la URL", 
       x = "Nº de (~)", y = "Recuento", fill = "Phishing") +
    geom_text(aes(label = ..count..), stat = "count", vjust = 1, hjust = -0.2) +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal() + coord_flip()

# qty_comma_url
ggplot(phishing_bruto, aes(x = qty_comma_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (,) en la URL", 
       x = "Nº de (,)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_plus_url
ggplot(phishing_bruto, aes(x = qty_plus_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (+) en la URL", 
       x = "Nº de (+)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_tilde_url: 0, >0.
qty_comma_url: 0, >0.
qty_plus_url: En este caso podriamos reagrupar los niveles 1 y 2 con el 0, ya que aunque no existan casi registros cuando el número de (+) es mayor que 0, si que vemos más presencia de webs legítimas en los demás niveles: 0-2, >2.
qty_asterisk_url: 0, >00.

URL qty grupo 4

Análisis cuantitativo:

# qty_hashtag_url
phishing_bruto |> group_by(qty_hashtag_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 8 × 4
# Groups:   qty_hashtag_url [7]
  qty_hashtag_url phishing     n  porc
  <fct>           <fct>    <int> <dbl>
1 0               0        58000  65.4
2 0               1        30636  34.6
3 1               1            3 100  
4 2               1            2 100  
5 3               1            3 100  
6 7               1            1 100  
7 9               1            1 100  
8 13              1            1 100

# qty_dollar_url
phishing_bruto |> group_by(qty_dollar_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 11 × 4
# Groups:   qty_dollar_url [10]
   qty_dollar_url phishing     n  porc
   <fct>          <fct>    <int> <dbl>
 1 0              0        58000  65.5
 2 0              1        30593  34.5
 3 1              1           22 100  
 4 2              1            4 100  
 5 3              1           12 100  
 6 4              1            5 100  
 7 5              1            3 100  
 8 6              1            2 100  
 9 8              1            2 100  
10 9              1            1 100  
11 10             1            3 100

# qty_percent_url
phishing_bruto |> count(qty_percent_url) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_percent_url     n         porc     cumul
1                0 87111 98.267284849  98.26728
2                1   613  0.691506763  98.95879
3                2   244  0.275249021  99.23404
4                3    86  0.097013999  99.33105
5                4    83  0.093629790  99.42468
6                5    82  0.092501720  99.51719
7                6    65  0.073324534  99.59051
8                7    19  0.021433325  99.61194
9                8    37  0.041738581  99.65368
10               9    42  0.047378930  99.70106
11              10    26  0.029329814  99.73039
12              11     4  0.004512279  99.73490
13              12    26  0.029329814  99.76423
14              13     6  0.006768419  99.77100
15              14    17  0.019177186  99.79018
16              15    12  0.013536837  99.80372
17              16    25  0.028201744  99.83192
18              17     6  0.006768419  99.83869
19              18    21  0.023689465  99.86238
20              19     6  0.006768419  99.86914
21              20    17  0.019177186  99.88832
22              21     6  0.006768419  99.89509
23              22    13  0.014664907  99.90975
24              23     3  0.003384209  99.91314
25              24     5  0.005640349  99.91878
26              26     6  0.006768419  99.92555
27              27     3  0.003384209  99.92893
28              28    13  0.014664907  99.94360
29              29     2  0.002256140  99.94585
30              30     2  0.002256140  99.94811
31              32     8  0.009024558  99.95713
32              34     5  0.005640349  99.96277
33              35     1  0.001128070  99.96390
34              36     3  0.003384209  99.96729
35              38     3  0.003384209  99.97067
36              39     1  0.001128070  99.97180
37              40     1  0.001128070  99.97293
38              42     1  0.001128070  99.97405
39              44     2  0.002256140  99.97631
40              46     1  0.001128070  99.97744
41              48     1  0.001128070  99.97857
42              51     5  0.005640349  99.98421
43              52     1  0.001128070  99.98534
44              54     1  0.001128070  99.98646
45              62     3  0.003384209  99.98985
46              65     1  0.001128070  99.99098
47              66     2  0.002256140  99.99323
48              78     2  0.002256140  99.99549
49             117     1  0.001128070  99.99662
50             127     1  0.001128070  99.99774
51             162     1  0.001128070  99.99887
52             174     1  0.001128070 100.00000

# qty_tld_url
phishing_bruto |> group_by(qty_tld_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 12 × 4
# Groups:   qty_tld_url [9]
   qty_tld_url phishing     n  porc
   <fct>       <fct>    <int> <dbl>
 1 0           0           26  11.3
 2 0           1          204  88.7
 3 1           0        57497  68.1
 4 1           1        26974  31.9
 5 2           0          477  13.5
 6 2           1         3058  86.5
 7 3           1          352 100  
 8 4           1           51 100  
 9 5           1            4 100  
10 7           1            2 100  
11 9           1            1 100  
12 12          1            1 100

Visualización:

# qty_hashtag_url
ggplot(phishing_bruto, aes(x = qty_hashtag_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (#) en la URL", 
       x = "Nº de (#)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_dollar_url
ggplot(phishing_bruto, aes(x = qty_dollar_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de ($) en la URL", 
       x = "Nº de ($)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_percent_url
ggplot(phishing_bruto, aes(x = qty_percent_url)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de (%) en la URL", 
       x = "Nº de (%)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_tld_url
ggplot(phishing_bruto, aes(x = qty_tld_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por número de caracteres de dominio en la URL", 
       x = "Nº de caracteres de dominio", y = "Recuento", fill = "Phishing") +
    geom_text(aes(label = ..count..), stat = "count", vjust = -0.5, hjust = 0.5) +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_hashtag_url: Atendiendo a sus proporciones: 0, >0.
qty_dollar_url: 0, >0.
qty_percent_url: En esta variable tenemos una mayor cantidad de valores únicos. La gran mayoría de los datos se concentran en el nivel 0, donde el porcentaje total sobre los datos es cercano al 100%. A partir de este valor, todos los valores que puede tomar esta variable apenas concentra el 1% de los datos:

phishing_bruto |> filter(qty_percent_url == 0) |> count(phishing) |> 
mutate(porc = 100*n/sum(n))

  phishing     n     porc
1        0 57706 66.24422
2        1 29405 33.75578

Por otra parte, en este nivel donde tenemos casi la totalidad de los registros, las proporciones en relación a la objetivo son prácticamente idénticas a las globales, por lo que no obtendríamos información relevante para nuestro modelo. Teniendo en cuenta esto, convendría eliminar esta variable.

qty_tld_url: En esta variable podemos ver que cuando la longitud de el dominio en la URL es distinto de 1, la probabilidad de que la web sea de phishing es muy superior: 1, ≠1.

Variable length_url

Esta variable define la longitud de la URL, y no se trata de una variable que representa catidad de caracteres de un objeto en concreto como las anteriores.

# Anañlisis cuantitativo
phishing_bruto |> count(length_url) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

    length_url    n        porc        cumul
1            4    2 0.002256140   0.00225614
2            5   21 0.023689465   0.02594560
3            6   73 0.082349092   0.10829470
4            7  175 0.197412208   0.30570690
5            8  287 0.323756021   0.62946293
6            9  479 0.540345415   1.16980834
7           10  987 1.113404853   2.28321319
8           11 1547 1.745123918   4.02833711
9           12 2652 2.991641003   7.01997812
10          13 2758 3.111216398  10.13119451
11          14 3427 3.865895067  13.99708958
12          15 3764 4.246054576  18.24314416
13          16 4206 4.744661410  22.98780557
14          17 4412 4.977043780  27.96484935
15          18 4607 5.197017384  33.16186673
16          19 4544 5.125948989  38.28781572
17          20 4382 4.943201688  43.23101741
18          21 3829 4.319379110  47.55039652
19          22 3281 3.701196882  51.25159340
20          23 2936 3.312012815  54.56360621
21          24 2478 2.795356865  57.35896308
22          25 2093 2.361050007  59.72001309
23          26 1853 2.090313265  61.81032635
24          27 1674 1.888388778  63.69871513
25          28 1427 1.609755547  65.30847068
26          29 1265 1.427008246  66.73547892
27          30 1120 1.263438131  67.99891705
28          31  939 1.059257504  69.05817456
29          32  807 0.910352296  69.96852685
30          33  816 0.920504924  70.88903178
31          34  766 0.864101436  71.75313321
32          35  724 0.816722506  72.56985572
33          36  743 0.838155832  73.40801155
34          37  749 0.844924250  74.25293580
35          38  671 0.756934809  75.00987061
36          39  733 0.826875134  75.83674574
37          40  717 0.808826018  76.64557176
38          41  611 0.689250623  77.33482239
39          42  550 0.620438368  77.95526075
40          43  590 0.665561158  78.62082191
41          44  513 0.578699787  79.19952170
42          45  556 0.627206786  79.82672848
43          46  739 0.833643553  80.66037204
44          47  571 0.644127833  81.30449987
45          48  441 0.497478764  81.80197863
46          49  512 0.577571717  82.37955035
47          50  444 0.500862973  82.88041332
48          51  469 0.529064717  83.40947804
49          52  394 0.444459485  83.85393753
50          53  336 0.379031439  84.23296897
51          54  379 0.427538439  84.66050741
52          55  355 0.400464765  85.06097217
53          56  339 0.382415649  85.44338782
54          57  325 0.366622672  85.81001049
55          58  320 0.360982323  86.17099281
56          59  306 0.345189347  86.51618216
57          60  301 0.339548998  86.85573116
58          61  320 0.360982323  87.21671348
59          62  389 0.438819137  87.65553262
60          63  329 0.371134951  88.02666757
61          64  394 0.444459485  88.47112705
62          65  307 0.346317416  88.81744447
63          66  266 0.300066556  89.11751103
64          67  388 0.437691067  89.55520209
65          68  218 0.245919208  89.80112130
66          69  218 0.245919208  90.04704051
67          70  230 0.259456045  90.30649655
68          71  224 0.252687626  90.55918418
69          72  259 0.292170068  90.85135425
70          73  231 0.260584115  91.11193836
71          74  257 0.289913928  91.40185229
72          75  212 0.239150789  91.64100308
73          76  171 0.192899929  91.83390301
74          77  172 0.194027999  92.02793101
75          78  208 0.234638510  92.26256952
76          79  167 0.188387650  92.45095717
77          80  144 0.162442045  92.61339921
78          81  135 0.152289418  92.76568863
79          82  126 0.142136790  92.90782542
80          83  150 0.169210464  93.07703588
81          84  132 0.148905208  93.22594109
82          85   84 0.094757860  93.32069895
83          86   98 0.110550836  93.43124979
84          87  102 0.115063116  93.54631290
85          88   88 0.099270139  93.64558304
86          89  120 0.135368371  93.78095141
87          90   90 0.101526278  93.88247769
88          91   98 0.110550836  93.99302853
89          92  109 0.122959604  94.11598813
90          93  115 0.129728022  94.24571616
91          94   99 0.111678906  94.35739506
92          95   87 0.098142069  94.45553713
93          96   92 0.103782418  94.55931955
94          97   67 0.075580674  94.63490022
95          98   75 0.084605232  94.71950545
96          99   72 0.081221023  94.80072648
97         100   65 0.073324534  94.87405101
98         101   63 0.071068395  94.94511941
99         102   78 0.087989441  95.03310885
100        103   66 0.074452604  95.10756145
101        104   89 0.100398209  95.20795966
102        105   76 0.085733302  95.29369296
103        106   70 0.078964883  95.37265785
104        107   49 0.055275418  95.42793326
105        108   59 0.066556116  95.49448938
106        109   55 0.062043837  95.55653322
107        110   80 0.090245581  95.64677880
108        111   54 0.060915767  95.70769456
109        112   70 0.078964883  95.78665945
110        113   57 0.064299976  95.85095942
111        114   85 0.095885930  95.94684535
112        115   59 0.066556116  96.01340147
113        116   63 0.071068395  96.08446986
114        117   37 0.041738581  96.12620844
115        118   40 0.045122790  96.17133124
116        119   45 0.050763139  96.22209437
117        120   51 0.057531558  96.27962593
118        121   30 0.033842093  96.31346802
119        122   27 0.030457884  96.34392591
120        123   52 0.058659628  96.40258554
121        124   31 0.034970163  96.43755570
122        125   29 0.032714023  96.47026972
123        126   62 0.069940325  96.54021005
124        127   31 0.034970163  96.57518021
125        128   36 0.040610511  96.61579072
126        129   69 0.077836813  96.69362753
127        130   35 0.039482442  96.73310998
128        131   42 0.047378930  96.78048891
129        132   27 0.030457884  96.81094679
130        133   32 0.036098232  96.84704502
131        134   24 0.027073674  96.87411870
132        135   25 0.028201744  96.90232044
133        136   28 0.031585953  96.93390639
134        137   17 0.019177186  96.95308358
135        138   15 0.016921046  96.97000463
136        139   28 0.031585953  97.00159058
137        140   21 0.023689465  97.02528004
138        141   30 0.033842093  97.05912214
139        142   24 0.027073674  97.08619581
140        143   56 0.063171907  97.14936772
141        144   40 0.045122790  97.19449051
142        145   31 0.034970163  97.22946067
143        146   27 0.030457884  97.25991855
144        147   31 0.034970163  97.29488872
145        148   24 0.027073674  97.32196239
146        149   28 0.031585953  97.35354834
147        150   23 0.025945604  97.37949395
148        151   15 0.016921046  97.39641499
149        152   17 0.019177186  97.41559218
150        153   13 0.014664907  97.43025709
151        154   15 0.016921046  97.44717813
152        155   21 0.023689465  97.47086760
153        156   14 0.015792977  97.48666058
154        157   18 0.020305256  97.50696583
155        158    9 0.010152628  97.51711846
156        159   12 0.013536837  97.53065530
157        160   25 0.028201744  97.55885704
158        161   16 0.018049116  97.57690616
159        162   12 0.013536837  97.59044299
160        163   15 0.016921046  97.60736404
161        164   19 0.021433325  97.62879736
162        165   10 0.011280698  97.64007806
163        166   15 0.016921046  97.65699911
164        167    4 0.004512279  97.66151139
165        168   12 0.013536837  97.67504822
166        169   19 0.021433325  97.69648155
167        170   11 0.012408767  97.70889032
168        171   18 0.020305256  97.72919557
169        172    8 0.009024558  97.73822013
170        173   18 0.020305256  97.75852539
171        174   14 0.015792977  97.77431836
172        175   14 0.015792977  97.79011134
173        176   12 0.013536837  97.80364818
174        177   12 0.013536837  97.81718501
175        178   15 0.016921046  97.83410606
176        179   19 0.021433325  97.85553939
177        180   13 0.014664907  97.87020429
178        181    6 0.006768419  97.87697271
179        182   14 0.015792977  97.89276569
180        183    9 0.010152628  97.90291832
181        184    6 0.006768419  97.90968674
182        185    7 0.007896488  97.91758322
183        186   13 0.014664907  97.93224813
184        187   49 0.055275418  97.98752355
185        188    1 0.001128070  97.98865162
186        189    8 0.009024558  97.99767618
187        190   16 0.018049116  98.01572529
188        191    9 0.010152628  98.02587792
189        192   16 0.018049116  98.04392704
190        193    6 0.006768419  98.05069546
191        194   16 0.018049116  98.06874457
192        195   19 0.021433325  98.09017790
193        196    9 0.010152628  98.10033052
194        197   14 0.015792977  98.11612350
195        198   11 0.012408767  98.12853227
196        199   19 0.021433325  98.14996559
197        200   18 0.020305256  98.17027085
198        201   19 0.021433325  98.19170417
199        202   26 0.029329814  98.22103399
200        203   23 0.025945604  98.24697959
201        204   26 0.029329814  98.27630941
202        205   18 0.020305256  98.29661466
203        206   42 0.047378930  98.34399359
204        207   36 0.040610511  98.38460410
205        208    6 0.006768419  98.39137252
206        209   11 0.012408767  98.40378129
207        210   30 0.033842093  98.43762338
208        211   13 0.014664907  98.45228829
209        212    5 0.005640349  98.45792864
210        213   17 0.019177186  98.47710582
211        214    8 0.009024558  98.48613038
212        215   10 0.011280698  98.49741108
213        216   10 0.011280698  98.50869178
214        217    9 0.010152628  98.51884441
215        218   19 0.021433325  98.54027773
216        219   15 0.016921046  98.55719878
217        220    9 0.010152628  98.56735141
218        221   21 0.023689465  98.59104087
219        222   14 0.015792977  98.60683385
220        223    8 0.009024558  98.61585840
221        224    7 0.007896488  98.62375489
222        225   10 0.011280698  98.63503559
223        226   14 0.015792977  98.65082857
224        227   18 0.020305256  98.67113382
225        228   16 0.018049116  98.68918294
226        229  113 0.127471883  98.81665482
227        230   39 0.043994721  98.86064954
228        231   11 0.012408767  98.87305831
229        232   10 0.011280698  98.88433901
230        233   15 0.016921046  98.90126005
231        234   19 0.021433325  98.92269338
232        235   12 0.013536837  98.93623022
233        236   13 0.014664907  98.95089512
234        237   29 0.032714023  98.98360915
235        238   67 0.075580674  99.05918982
236        239   21 0.023689465  99.08287929
237        240    8 0.009024558  99.09190384
238        241   16 0.018049116  99.10995296
239        242   94 0.106038557  99.21599152
240        243   15 0.016921046  99.23291256
241        244   12 0.013536837  99.24644940
242        245   11 0.012408767  99.25885817
243        246   12 0.013536837  99.27239500
244        247   11 0.012408767  99.28480377
245        248   10 0.011280698  99.29608447
246        249    6 0.006768419  99.30285289
247        250   14 0.015792977  99.31864587
248        251    7 0.007896488  99.32654235
249        252    7 0.007896488  99.33443884
250        253    6 0.006768419  99.34120726
251        254    6 0.006768419  99.34797568
252        255    5 0.005640349  99.35361603
253        256    8 0.009024558  99.36264059
254        257   10 0.011280698  99.37392128
255        258   11 0.012408767  99.38633005
256        259   11 0.012408767  99.39873882
257        260    3 0.003384209  99.40212303
258        261    7 0.007896488  99.41001952
259        262   11 0.012408767  99.42242828
260        263   11 0.012408767  99.43483705
261        264   13 0.014664907  99.44950196
262        265    8 0.009024558  99.45852652
263        266    6 0.006768419  99.46529493
264        267    5 0.005640349  99.47093528
265        268   13 0.014664907  99.48560019
266        269    4 0.004512279  99.49011247
267        270    7 0.007896488  99.49800896
268        271   11 0.012408767  99.51041772
269        272    9 0.010152628  99.52057035
270        273    9 0.010152628  99.53072298
271        274   12 0.013536837  99.54425982
272        275    9 0.010152628  99.55441244
273        276   10 0.011280698  99.56569314
274        277    8 0.009024558  99.57471770
275        278    7 0.007896488  99.58261419
276        279   18 0.020305256  99.60291944
277        280   10 0.011280698  99.61420014
278        281    8 0.009024558  99.62322470
279        282    7 0.007896488  99.63112119
280        283   11 0.012408767  99.64352996
281        284    9 0.010152628  99.65368258
282        285    8 0.009024558  99.66270714
283        286    4 0.004512279  99.66721942
284        287    4 0.004512279  99.67173170
285        288    3 0.003384209  99.67511591
286        289    6 0.006768419  99.68188433
287        290    3 0.003384209  99.68526854
288        291    2 0.002256140  99.68752468
289        292    3 0.003384209  99.69090889
290        293    5 0.005640349  99.69654923
291        294    4 0.004512279  99.70106151
292        295    4 0.004512279  99.70557379
293        296    3 0.003384209  99.70895800
294        297    5 0.005640349  99.71459835
295        298    1 0.001128070  99.71572642
296        299    6 0.006768419  99.72249484
297        300    2 0.002256140  99.72475098
298        301    2 0.002256140  99.72700712
299        302    1 0.001128070  99.72813519
300        303    1 0.001128070  99.72926326
301        304    6 0.006768419  99.73603168
302        305    5 0.005640349  99.74167202
303        306    5 0.005640349  99.74731237
304        307    4 0.004512279  99.75182465
305        308    2 0.002256140  99.75408079
306        309    1 0.001128070  99.75520886
307        311    2 0.002256140  99.75746500
308        314    4 0.004512279  99.76197728
309        315    2 0.002256140  99.76423342
310        316    4 0.004512279  99.76874570
311        317    2 0.002256140  99.77100184
312        318    2 0.002256140  99.77325798
313        319    2 0.002256140  99.77551412
314        320    2 0.002256140  99.77777026
315        321    1 0.001128070  99.77889833
316        322    3 0.003384209  99.78228254
317        323    1 0.001128070  99.78341061
318        324    2 0.002256140  99.78566675
319        325    1 0.001128070  99.78679482
320        326    2 0.002256140  99.78905095
321        327    3 0.003384209  99.79243516
322        328    4 0.004512279  99.79694744
323        329    2 0.002256140  99.79920358
324        330    4 0.004512279  99.80371586
325        331    1 0.001128070  99.80484393
326        332    2 0.002256140  99.80710007
327        333    1 0.001128070  99.80822814
328        334    1 0.001128070  99.80935621
329        335    1 0.001128070  99.81048428
330        336    2 0.002256140  99.81274042
331        337    2 0.002256140  99.81499656
332        338    1 0.001128070  99.81612463
333        339    2 0.002256140  99.81838077
334        340    1 0.001128070  99.81950884
335        341    3 0.003384209  99.82289305
336        343    2 0.002256140  99.82514919
337        344    1 0.001128070  99.82627726
338        346    2 0.002256140  99.82853340
339        347    2 0.002256140  99.83078954
340        348    1 0.001128070  99.83191761
341        349    4 0.004512279  99.83642988
342        351    2 0.002256140  99.83868602
343        352    1 0.001128070  99.83981409
344        353    1 0.001128070  99.84094216
345        354    1 0.001128070  99.84207023
346        355    2 0.002256140  99.84432637
347        356    2 0.002256140  99.84658251
348        358    1 0.001128070  99.84771058
349        359    2 0.002256140  99.84996672
350        362    1 0.001128070  99.85109479
351        364    1 0.001128070  99.85222286
352        365    1 0.001128070  99.85335093
353        366    2 0.002256140  99.85560707
354        368    1 0.001128070  99.85673514
355        369    2 0.002256140  99.85899128
356        370    2 0.002256140  99.86124742
357        371    1 0.001128070  99.86237549
358        372    2 0.002256140  99.86463163
359        373    2 0.002256140  99.86688777
360        374    1 0.001128070  99.86801584
361        376    1 0.001128070  99.86914391
362        377    2 0.002256140  99.87140005
363        378    2 0.002256140  99.87365619
364        380    1 0.001128070  99.87478426
365        383    3 0.003384209  99.87816847
366        384    2 0.002256140  99.88042461
367        386    1 0.001128070  99.88155268
368        390    1 0.001128070  99.88268074
369        392    1 0.001128070  99.88380881
370        397    1 0.001128070  99.88493688
371        399    1 0.001128070  99.88606495
372        400    3 0.003384209  99.88944916
373        402    1 0.001128070  99.89057723
374        406    2 0.002256140  99.89283337
375        412    3 0.003384209  99.89621758
376        413    1 0.001128070  99.89734565
377        418    1 0.001128070  99.89847372
378        420    1 0.001128070  99.89960179
379        430    3 0.003384209  99.90298600
380        432    1 0.001128070  99.90411407
381        434    1 0.001128070  99.90524214
382        437    1 0.001128070  99.90637021
383        439    1 0.001128070  99.90749828
384        441    2 0.002256140  99.90975442
385        442    1 0.001128070  99.91088249
386        449    1 0.001128070  99.91201056
387        461    2 0.002256140  99.91426670
388        463    1 0.001128070  99.91539477
389        468    1 0.001128070  99.91652284
390        473    1 0.001128070  99.91765091
391        475    1 0.001128070  99.91877898
392        476    1 0.001128070  99.91990705
393        477    1 0.001128070  99.92103512
394        478    1 0.001128070  99.92216319
395        481    1 0.001128070  99.92329126
396        484    1 0.001128070  99.92441933
397        489    1 0.001128070  99.92554740
398        494    1 0.001128070  99.92667547
399        496    1 0.001128070  99.92780354
400        515    1 0.001128070  99.92893161
401        519    1 0.001128070  99.93005967
402        523    1 0.001128070  99.93118774
403        531    3 0.003384209  99.93457195
404        532    1 0.001128070  99.93570002
405        538    1 0.001128070  99.93682809
406        541    1 0.001128070  99.93795616
407        546    1 0.001128070  99.93908423
408        547    2 0.002256140  99.94134037
409        554    1 0.001128070  99.94246844
410        556    1 0.001128070  99.94359651
411        557    2 0.002256140  99.94585265
412        558    1 0.001128070  99.94698072
413        559    1 0.001128070  99.94810879
414        560    1 0.001128070  99.94923686
415        583    1 0.001128070  99.95036493
416        591    1 0.001128070  99.95149300
417        594    1 0.001128070  99.95262107
418        595    1 0.001128070  99.95374914
419        598    1 0.001128070  99.95487721
420        602    1 0.001128070  99.95600528
421        609    1 0.001128070  99.95713335
422        613    2 0.002256140  99.95938949
423        624    1 0.001128070  99.96051756
424        640    2 0.002256140  99.96277370
425        646    1 0.001128070  99.96390177
426        651    1 0.001128070  99.96502984
427        657    2 0.002256140  99.96728598
428        677    1 0.001128070  99.96841405
429        694    1 0.001128070  99.96954212
430        714    2 0.002256140  99.97179826
431        717    1 0.001128070  99.97292633
432        720    1 0.001128070  99.97405440
433        723    1 0.001128070  99.97518247
434        726    2 0.002256140  99.97743860
435        727    2 0.002256140  99.97969474
436        737    1 0.001128070  99.98082281
437        763    1 0.001128070  99.98195088
438        818    1 0.001128070  99.98307895
439        838    1 0.001128070  99.98420702
440        841    1 0.001128070  99.98533509
441        853    1 0.001128070  99.98646316
442        863    1 0.001128070  99.98759123
443        909    1 0.001128070  99.98871930
444        915    1 0.001128070  99.98984737
445        929    1 0.001128070  99.99097544
446        939    1 0.001128070  99.99210351
447        973    1 0.001128070  99.99323158
448       1098    1 0.001128070  99.99435965
449       1221    1 0.001128070  99.99548772
450       1286    1 0.001128070  99.99661579
451       1307    1 0.001128070  99.99774386
452       1962    1 0.001128070  99.99887193
453       4165    1 0.001128070 100.00000000

phishing_bruto |> group_by(length_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 606 × 4
# Groups:   length_url [453]
   length_url phishing     n   porc
        <int> <fct>    <int>  <dbl>
 1          4 0            2 100   
 2          5 0           19  90.5 
 3          5 1            2   9.52
 4          6 0           73 100   
 5          7 0          169  96.6 
 6          7 1            6   3.43
 7          8 0          273  95.1 
 8          8 1           14   4.88
 9          9 0          446  93.1 
10          9 1           33   6.89
# … with 596 more rows

# Visualización
ggplot(phishing_bruto, aes(x = length_url)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por longitud de la URL", 
       x = "Longitud de la URL", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_x_continuous(breaks = seq(0, 4000, 500)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Vemos por su distribución que se trata de una variable con una distribución considerablemente asimétrica, con una cola pesada a la derecha. Por otra parte, a partir de un valor de 500, apenas podemos visualizar registros, y parece que todos ellos se tratan de páginas web de phishing:

phishing_bruto |> filter(length_url >= 500) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing  n    porc
1        0  1  1.5625
2        1 63 98.4375

phishing_bruto |> summarise(min = min(length_url), max = max(length_url))

  min  max
1   4 4165

No tiene sentido tener un número tan elevado de longitud de URL, por lo que teniendo en cuenta la distribución y las proporciones a partir del valor 500, podemos imputar el 500 a todo valor que sea superior a este.

Variable email_in_url

# Anañlisis cuantitativo
phishing_bruto |> count(email_in_url) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

  email_in_url     n      porc     cumul
1            0 87022 98.166887  98.16689
2            1  1625  1.833113 100.00000

phishing_bruto |> group_by(email_in_url) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   email_in_url [2]
  email_in_url phishing     n    porc
  <fct>        <fct>    <int>   <dbl>
1 0            0        57999 66.6   
2 0            1        29023 33.4   
3 1            0            1  0.0615
4 1            1         1624 99.9

# Visualización
ggplot(phishing_bruto, aes(x = email_in_url)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por email en la URL", 
       x = "Email en URL", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Tenemos una variable tipo binaria que nos indica con el valor 0 que no existe un email en la URL, y con un 1 que sí existe. Vemos que la mayoría de datos se concentran en el 0, donde la distribución de la objetivo es similar a la global. En este caso la información relevante para nuestros futuros modelos la encontramos en cuando sí existe email en la URL, ya que el porcentaje de encontrarnos una web con phishing es de casi el 100%. Por lo tanto, no haremos ninguna modificación en esta variable. En este caso consideramos que un porcentaje de datos en el nivel diferenciador cercano al 2%, sí puede llegar a ser determinante a la hora de ayudar a nuestro modelo a mejorar la clasificación.

Variable url_google_index

# Anañlisis cuantitativo
phishing_bruto |> count(url_google_index) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

  url_google_index     n       porc       cumul
1               -1    90  0.1015263   0.1015263
2                0 88342 99.6559387  99.7574650
3                1   215  0.2425350 100.0000000

phishing_bruto |> group_by(url_google_index) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 5 × 4
# Groups:   url_google_index [3]
  url_google_index phishing     n   porc
  <fct>            <fct>    <int>  <dbl>
1 -1               0           90 100   
2 0                0        57716  65.3 
3 0                1        30626  34.7 
4 1                0          194  90.2 
5 1                1           21   9.77

# Visualización
ggplot(phishing_bruto, aes(x = url_google_index)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por URL indexada en Google", 
       x = "URL Indexada en Google", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Una vez más, apenas tenemos registros en los niveles distintos de 0, donde las proporciones son idénticas a las globales en función de nuestra objetivo. Por lo tanto, y a pesar de que si tenemos proporciones diferenciales en los demás niveles, eliminaremos esta variable por que en dichos niveles los registros apenas llegan al 0,5%, y para evitar el sobreajuste.

Variable url_shortened

# Anañlisis cuantitativo
phishing_bruto |> count(url_shortened) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

  url_shortened     n       porc     cumul
1             0 88161 99.4517581  99.45176
2             1   486  0.5482419 100.00000

phishing_bruto |> group_by(url_shortened) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   url_shortened [2]
  url_shortened phishing     n  porc
  <fct>         <fct>    <int> <dbl>
1 0             0        57991 65.8 
2 0             1        30170 34.2 
3 1             0            9  1.85
4 1             1          477 98.1

# Visualización
ggplot(phishing_bruto, aes(x = url_shortened)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por URL acortada", 
       x = "URL acortada", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Sucede lo mismo que con la variable de email en la URL. Cuando sí esta acortada, hay una mayor probabilidad de que la web sea de phishing, pero apenas tenemos un 1% del total de datos en este nivel. De esta forma, convendría eliminar esta variable, ya que la probabilidad de que nos pueda aportar información relevante para nuestro modelo es muy baja.

Variables de dominio

Continuando con la estructura anterior, pasaremos a analizar las variables de tipo dominio:

qty_dot_domain: cantidad de (.) en dominio qty_hyphen_domain: cantidad de (-) en dominio qty_underline_domain: cantidad de (_) en dominio qty_slash_domain: cantidad de (/) en dominio qty_questionmark_domain: cantidad de (?) en dominio qty_equal_domain: cantidad de (=) en dominio qty_at_domain: cantidad de (@) en dominio qty_and_domain: cantidad de (&) en dominio qty_exclamation_domain: cantidad de (!) en dominio qty_space_domain: cantidad de ( ) en dominio qty_tilde_domain: cantidad de (~) en dominio qty_comma_domain: cantidad de (,) en dominio qty_plus_domain: cantidad de (+) en dominio qty_asterisk_domain: cantidad de (*) en dominio qty_hashtag_domain: cantidad de (#) en dominio qty_dollar_domain: cantidad de ($) en dominio qty_percent_domain: cantidad de (%) en dominio qty_vowels_domain: cantidad de vocales en dominio domain_length: longitud de dominio domain_in_ip: dominio en formato de dirección IP server_client_domain: dominio contiene las palabras clave “cliente” o “servidor” domain_spf: dominio tiene SPF time_domain_activation: tiempo (en dias) de la activación del dominio time_domain_expiration: tiempo (en dias) de la expiración del dominio

Comprobamos el número de valores únicos en estas variables:

phishing_bruto |> select(contains("domain")) |> 
  summarise_all(list(~n_distinct(.)))

  qty_dot_domain qty_hyphen_domain qty_underline_domain
1             19                12                    4
  qty_slash_domain qty_questionmark_domain qty_equal_domain
1                1                       1                1
  qty_at_domain qty_and_domain qty_exclamation_domain
1             2              1                      1
  qty_space_domain qty_tilde_domain qty_comma_domain qty_plus_domain
1                1                1                1               1
  qty_asterisk_domain qty_hashtag_domain qty_dollar_domain
1                   1                  1                 1
  qty_percent_domain qty_vowels_domain domain_length domain_in_ip
1                  1                42            94            2
  server_client_domain domain_spf time_domain_activation
1                    2          3                   8790
  time_domain_expiration domain_google_index
1                   3093                   3

Convertimos las variables a factor para una mejor visualización:

phishing_bruto <- 
  phishing_bruto |> mutate(qty_dot_domain = as_factor(qty_dot_domain),
                           qty_hyphen_domain = as_factor(qty_hyphen_domain),
                           qty_underline_domain = as_factor(qty_underline_domain),
                           qty_slash_domain = as_factor(qty_slash_domain),
                           qty_questionmark_domain = as_factor(qty_questionmark_domain),
                           qty_equal_domain = as_factor(qty_equal_domain),
                           qty_at_domain = as_factor(qty_at_domain),
                           qty_and_domain = as_factor(qty_and_domain),
                           qty_exclamation_domain = as_factor(qty_exclamation_domain),
                           qty_space_domain = as_factor(qty_space_domain),
                           qty_tilde_domain = as_factor(qty_tilde_domain),
                           qty_comma_domain = as_factor(qty_comma_domain),
                           qty_plus_domain = as_factor(qty_plus_domain),
                           qty_asterisk_domain = as_factor(qty_asterisk_domain),
                           qty_hashtag_domain = as_factor(qty_hashtag_domain),
                           qty_dollar_domain = as_factor(qty_dollar_domain),
                           qty_percent_domain = as_factor(qty_percent_domain),
                           domain_in_ip = as_factor(domain_in_ip),
                           server_client_domain = as_factor(server_client_domain),
                           domain_spf = as_factor(domain_spf))

Una vez más, evitamos convertir en factor variables con una gran cantidad de valores únicos, en este caso, las variables qty_vowels_domain, domain_length, time_domain_activation y time_domain_expiration.

AQUIDominio qty grupo 1

Análisis cuantitativo

# qty_dot_domain
phishing_bruto |> group_by(qty_dot_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 26 × 4
# Groups:   qty_dot_domain [19]
   qty_dot_domain phishing     n  porc
   <fct>          <fct>    <int> <dbl>
 1 0              0           14  11.3
 2 0              1          110  88.7
 3 1              0         8562  36.8
 4 1              1        14707  63.2
 5 2              0        42096  75.5
 6 2              1        13647  24.5
 7 3              0         5868  76.6
 8 3              1         1796  23.4
 9 4              0         1415  87.0
10 4              1          211  13.0
# … with 16 more rows

# qty_hyphen_domain
phishing_bruto |> group_by(qty_hyphen_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 19 × 4
# Groups:   qty_hyphen_domain [12]
   qty_hyphen_domain phishing     n   porc
   <fct>             <fct>    <int>  <dbl>
 1 0                 0        54067  67.1 
 2 0                 1        26503  32.9 
 3 1                 0         3410  50.8 
 4 1                 1         3303  49.2 
 5 2                 0          450  46.6 
 6 2                 1          516  53.4 
 7 3                 0           57  26.1 
 8 3                 1          161  73.9 
 9 4                 0           10   9.35
10 4                 1           97  90.7 
11 5                 0            1   2.5 
12 5                 1           39  97.5 
13 6                 0            5  22.7 
14 6                 1           17  77.3 
15 7                 1            4 100   
16 8                 1            1 100   
17 9                 1            1 100   
18 10                1            2 100   
19 11                1            3 100

# qty_underline_domain
phishing_bruto |> group_by(qty_underline_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 7 × 4
# Groups:   qty_underline_domain [4]
  qty_underline_domain phishing     n  porc
  <fct>                <fct>    <int> <dbl>
1 0                    0        57959  65.4
2 0                    1        30633  34.6
3 1                    0           33  75  
4 1                    1           11  25  
5 2                    0            7  70  
6 2                    1            3  30  
7 3                    0            1 100

# qty_slash_domain
phishing_bruto |> group_by(qty_slash_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_slash_domain [1]
  qty_slash_domain phishing     n  porc
  <fct>            <fct>    <int> <dbl>
1 0                0        58000  65.4
2 0                1        30647  34.6

# qty_questionmark_domain
phishing_bruto |> group_by(qty_questionmark_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_questionmark_domain [1]
  qty_questionmark_domain phishing     n  porc
  <fct>                   <fct>    <int> <dbl>
1 0                       0        58000  65.4
2 0                       1        30647  34.6

# qty_equal_domain
phishing_bruto |> group_by(qty_equal_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_equal_domain [1]
  qty_equal_domain phishing     n  porc
  <fct>            <fct>    <int> <dbl>
1 0                0        58000  65.4
2 0                1        30647  34.6

Visualización:

# qty_dot_domain
ggplot(phishing_bruto, aes(x = qty_dot_domain)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (.) en dominio", 
       x = "Cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_hyphen_domain
ggplot(phishing_bruto, aes(x = qty_hyphen_domain)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (-) en dominio", 
       x = "Cantidad de (-)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_underline_domain
ggplot(phishing_bruto, aes(x = qty_underline_domain)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (_) en dominio", 
       x = "Cantidad de (_)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# # qty_slash_domain
ggplot(phishing_bruto, aes(x = qty_slash_domain)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (/) en dominio", 
       x = "Cantidad de (/)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_questionmark_domain
ggplot(phishing_bruto, aes(x = qty_questionmark_domain)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (?) en dominio", 
       x = "Cantidad de (?)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_equal_domain
ggplot(phishing_bruto, aes(x = qty_equal_domain)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (=) en dominio", 
       x = "Cantidad de (=)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conlcusiones:

qty_dot_domain: Cuando el número de punto es 0, o se encuentra comprendido entre el 6 y el 12, la probabilidad de econtrarse con una web de phishing es del 90% o superior. Cuando tenemos 2, 3 o 4 puntos, existe una mayor proporción de webs legítimas. y por último, cuando tenemos 1 o 5 puntos, tenemos un porcentaje de phishing superior a los porcentajes globales, aunque considerablemente inferior si lo comparamos con los niveles 0, 6-12. Por lo tanto podemos generar 3 niveles a partir de los valores que puede tomar esta variable: 0/6-12, 2-4, 1/5
qty_hyphen_domain: Podemos crear 3 niveles nuevamente. Cuando tenemos 0 guiones, las proporciones son muy similares a las globales. Cuando es 1 o 2, el porcentaje de phishing asciende al 50% aproximadamente y cuando tenemos 3 o más guiones, siempre se encuentra este porcentaje por encima del 70%, teniendo niveles con un 100% de phishing: 0, 1-2, >2.
qty_underline_domain: La gran mayoría de datos se concentran en el nivel 0, y cuando toma diferentes valores, no encontramos información muy relevante acerca de la proporción de phishing: la eliminamos.
qty_slash_domain: Solo toma un nivel esta variable, y a parte, su distribución con la objetivo tampoco nos aporta información relevante para detectar una posible web de phishing: la eliminamos.
qty_questionmark_domain: Sucede lo mismo que con la anterior variable: la eliminamos.
qty_equal_domain: Nuevamente la eliminamos por el mismo motivo.

Dominio qty grupo 2

Análisis cuantitativo:

# qty_at_domain
phishing_bruto |> group_by(qty_at_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 3 × 4
# Groups:   qty_at_domain [2]
  qty_at_domain phishing     n  porc
  <fct>         <fct>    <int> <dbl>
1 0             0        58000  65.4
2 0             1        30646  34.6
3 1             1            1 100

# qty_and_domain
phishing_bruto |> group_by(qty_and_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_and_domain [1]
  qty_and_domain phishing     n  porc
  <fct>          <fct>    <int> <dbl>
1 0              0        58000  65.4
2 0              1        30647  34.6

# qty_exclamation_domain
phishing_bruto |> group_by(qty_exclamation_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_exclamation_domain [1]
  qty_exclamation_domain phishing     n  porc
  <fct>                  <fct>    <int> <dbl>
1 0                      0        58000  65.4
2 0                      1        30647  34.6

# qty_space_domain
phishing_bruto |> group_by(qty_space_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_space_domain [1]
  qty_space_domain phishing     n  porc
  <fct>            <fct>    <int> <dbl>
1 0                0        58000  65.4
2 0                1        30647  34.6

# qty_tilde_domain
phishing_bruto |> group_by(qty_tilde_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_tilde_domain [1]
  qty_tilde_domain phishing     n  porc
  <fct>            <fct>    <int> <dbl>
1 0                0        58000  65.4
2 0                1        30647  34.6

# qty_comma_domain
phishing_bruto |> group_by(qty_comma_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_comma_domain [1]
  qty_comma_domain phishing     n  porc
  <fct>            <fct>    <int> <dbl>
1 0                0        58000  65.4
2 0                1        30647  34.6

Ya viendo como se distribuyen estas variables con la objetivo, no pasaremos a analizarlas visualmente. Es decir, vemos que únicamente toman un nivel, excepto en el caso de qty_at_domain, donde solo tiene un registro en el otro. Las proporciones con la objetivo son idénticas a las globales por lo que no nos aporta una información diferencial para ayudar a nuestro modelo a detectar el phishing. De este modo, las eliminaremos de nuestro análisis.

Dominio qty grupo 3

Análisis cuantitativo:

# qty_plus_domain
phishing_bruto |> group_by(qty_plus_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_plus_domain [1]
  qty_plus_domain phishing     n  porc
  <fct>           <fct>    <int> <dbl>
1 0               0        58000  65.4
2 0               1        30647  34.6

# qty_asterisk_domain
phishing_bruto |> group_by(qty_asterisk_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_asterisk_domain [1]
  qty_asterisk_domain phishing     n  porc
  <fct>               <fct>    <int> <dbl>
1 0                   0        58000  65.4
2 0                   1        30647  34.6

# qty_hashtag_domain
phishing_bruto |> group_by(qty_hashtag_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_hashtag_domain [1]
  qty_hashtag_domain phishing     n  porc
  <fct>              <fct>    <int> <dbl>
1 0                  0        58000  65.4
2 0                  1        30647  34.6

# qty_dollar_domain
phishing_bruto |> group_by(qty_dollar_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_dollar_domain [1]
  qty_dollar_domain phishing     n  porc
  <fct>             <fct>    <int> <dbl>
1 0                 0        58000  65.4
2 0                 1        30647  34.6

# qty_percent_domain
phishing_bruto |> group_by(qty_percent_domain) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 2 × 4
# Groups:   qty_percent_domain [1]
  qty_percent_domain phishing     n  porc
  <fct>              <fct>    <int> <dbl>
1 0                  0        58000  65.4
2 0                  1        30647  34.6

# qty_vowels_domain
phishing_bruto |> count(qty_vowels_domain) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_vowels_domain     n         porc       cumul
1                  0   672  0.758062879   0.7580629
2                  1  2749  3.101063770   3.8591266
3                  2  4748  5.356075220   9.2152019
4                  3  9872 11.136304669  20.3515065
5                  4 14628 16.501404447  36.8529110
6                  5 16331 18.422507248  55.2754182
7                  6 14632 16.505916726  71.7813350
8                  7  9588 10.815932857  82.5972678
9                  8  6322  7.131657022  89.7289248
10                 9  4134  4.663440387  94.3923652
11                10  2116  2.386995612  96.7793608
12                11  1294  1.459722269  98.2390831
13                12   587  0.662176949  98.9012601
14                13   357  0.402720904  99.3039810
15                14   237  0.267352533  99.5713335
16                15    98  0.110550836  99.6818843
17                16    62  0.069940325  99.7518247
18                17    41  0.046250860  99.7980755
19                18    26  0.029329814  99.8274053
20                19    35  0.039482442  99.8668878
21                20    47  0.053019279  99.9199070
22                21    11  0.012408767  99.9323158
23                22    20  0.022561395  99.9548772
24                23     6  0.006768419  99.9616456
25                24     3  0.003384209  99.9650298
26                25     2  0.002256140  99.9672860
27                26     3  0.003384209  99.9706702
28                27     2  0.002256140  99.9729263
29                28     5  0.005640349  99.9785667
30                29     1  0.001128070  99.9796947
31                31     2  0.002256140  99.9819509
32                33     2  0.002256140  99.9842070
33                35     5  0.005640349  99.9898474
34                36     1  0.001128070  99.9909754
35                38     1  0.001128070  99.9921035
36                39     1  0.001128070  99.9932316
37                41     1  0.001128070  99.9943597
38                44     1  0.001128070  99.9954877
39                48     1  0.001128070  99.9966158
40                50     1  0.001128070  99.9977439
41                53     1  0.001128070  99.9988719
42                61     1  0.001128070 100.0000000

Con las 5 primeras de nuestro último grupo de variables tipo qty_domain, sucede lo mismo con las anteriores. Por lo tanto, eliminaremos las variables qty_plus/asterisk/hashtag/dollar/percent_domain.

Visualizamos la última de ellas:

# qty_vowels_domain
ggplot(phishing_bruto, aes(x = qty_vowels_domain)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de vocales en dominio", 
       x = "Cantidad de vocales", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 30000, 5000)) +
  scale_x_continuous(breaks = seq(0, 60 ,10)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_vowels_domain: Vemos que es una variable con una distribución considerablemente asimétrica, donde la mayoría registros se concentrar entre los valores 2 y 9 (> 65% de proporción sobre el total). A partir del valor 30 aproximadamente prácticamente no se distinguen registros:

phishing_bruto |> filter(qty_vowels_domain > 20) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

  phishing  n      porc
1        0  1  1.408451
2        1 70 98.591549

Solo encontramos 71 registros donde únicamente tenemos 1/71 webs legítimas. Por lo tanto, podríamos imputarle el valor 20 a todo registro que supere este límite en función de esta variable y de esta forma simplificamos el rango que abarca.

Variable domain_length

Esta variable indica la longitud del dominio en caracteres:

phishing_bruto |> count(domain_length) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   domain_length    n        porc       cumul
1              4   97 0.109422767   0.1094228
2              5  156 0.175978883   0.2854016
3              6  586 0.661048879   0.9464505
4              7  599 0.675713786   1.6221643
5              8  719 0.811082157   2.4332465
6              9  995 1.122429411   3.5556759
7             10 1816 2.048574684   5.6042506
8             11 3173 3.579365348   9.1836159
9             12 4207 4.745789480  13.9294054
10            13 4445 5.014270082  18.9436755
11            14 5531 6.239353842  25.1830293
12            15 5904 6.660123862  31.8431532
13            16 8218 9.270477286  41.1136305
14            17 6195 6.988392162  48.1020226
15            18 6214 7.009825488  55.1118481
16            19 6003 6.771802768  61.8836509
17            20 5596 6.312678376  68.1963293
18            21 4864 5.486931312  73.6832606
19            22 4249 4.793168410  78.4764290
20            23 3510 3.959524857  82.4359538
21            24 2858 3.224023374  85.6599772
22            25 2496 2.815662121  88.4756393
23            26 1943 2.191839543  90.6674789
24            27 1679 1.894029127  92.5615080
25            28 1723 1.943664196  94.5051722
26            29 1017 1.147246946  95.6524191
27            30  749 0.844924250  96.4973434
28            31  607 0.684738344  97.1820817
29            32  440 0.496350694  97.6784324
30            33  397 0.447843695  98.1262761
31            34  283 0.319243742  98.4455199
32            35  234 0.263968324  98.7094882
33            36  181 0.204180627  98.9136688
34            37  152 0.171466603  99.0851354
35            38  133 0.150033278  99.2351687
36            39   96 0.108294697  99.3434634
37            40   62 0.069940325  99.4134037
38            41   51 0.057531558  99.4709353
39            42   57 0.064299976  99.5352353
40            43   48 0.054147348  99.5893826
41            44   35 0.039482442  99.6288650
42            45   27 0.030457884  99.6593229
43            46   11 0.012408767  99.6717317
44            47   24 0.027073674  99.6988054
45            48   15 0.016921046  99.7157264
46            49   17 0.019177186  99.7349036
47            50   24 0.027073674  99.7619773
48            51    8 0.009024558  99.7710018
49            52    7 0.007896488  99.7788983
50            53    8 0.009024558  99.7879229
51            54    6 0.006768419  99.7946913
52            55    5 0.005640349  99.8003317
53            56   10 0.011280698  99.8116124
54            57   10 0.011280698  99.8228930
55            58    6 0.006768419  99.8296615
56            59    2 0.002256140  99.8319176
57            60    9 0.010152628  99.8420702
58            61    3 0.003384209  99.8454544
59            62   29 0.032714023  99.8781685
60            63    5 0.005640349  99.8838088
61            64    9 0.010152628  99.8939614
62            65    2 0.002256140  99.8962176
63            66    3 0.003384209  99.8996018
64            67    4 0.004512279  99.9041141
65            68   10 0.011280698  99.9153948
66            69    1 0.001128070  99.9165228
67            70    4 0.004512279  99.9210351
68            71    5 0.005640349  99.9266755
69            72    5 0.005640349  99.9323158
70            73    4 0.004512279  99.9368281
71            74    4 0.004512279  99.9413404
72            75    3 0.003384209  99.9447246
73            77    5 0.005640349  99.9503649
74            83    2 0.002256140  99.9526211
75            84    4 0.004512279  99.9571333
76            87    4 0.004512279  99.9616456
77            89    5 0.005640349  99.9672860
78            90    1 0.001128070  99.9684140
79            92    2 0.002256140  99.9706702
80            93    1 0.001128070  99.9717983
81            99    5 0.005640349  99.9774386
82           113    1 0.001128070  99.9785667
83           117    4 0.004512279  99.9830790
84           126    2 0.002256140  99.9853351
85           128    1 0.001128070  99.9864632
86           132    1 0.001128070  99.9875912
87           137    1 0.001128070  99.9887193
88           142    1 0.001128070  99.9898474
89           145    1 0.001128070  99.9909754
90           150    1 0.001128070  99.9921035
91           161    1 0.001128070  99.9932316
92           173    1 0.001128070  99.9943597
93           179    3 0.003384209  99.9977439
94           231    2 0.002256140 100.0000000

ggplot(phishing_bruto, aes(x = domain_length)) + 
  geom_density(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por longitud de dominio", 
       x = "Longitud de dominio", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_x_continuous(breaks = seq(0, 250, 25)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Vemos que se trata de una variable con una distribución muy asimétrica, con una cola pesada a la derecha. La mayoría de datos se concentran entre los valores 13 y 21 aproximadamente.

phishing_bruto |> select(domain_length) |> 
  summarise(min = min(domain_length), max = max(domain_length))

  min max
1   4 231

Tenemso un máximo de longitud de dominio muy elevado. Observando el gráfico de densidad, vemos que a partir del valor 50, a parte de tener muy pocos datos, casi la totalidad de registros de corresponden a webs de phishing. Teniendo todo ello en cuenta, podríamos imputarle a todo lo que supere el 50, dicho valor.

Variable domain_in_ip

Indica si el dominio está en formato de dirección ip

# Anañlisis cuantitativo
phishing_bruto |> count(domain_in_ip) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

  domain_in_ip     n      porc     cumul
1            0 88446 99.773258  99.77326
2            1   201  0.226742 100.00000

phishing_bruto |> group_by(domain_in_ip) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   domain_in_ip [2]
  domain_in_ip phishing     n  porc
  <fct>        <fct>    <int> <dbl>
1 0            0        57985 65.6 
2 0            1        30461 34.4 
3 1            0           15  7.46
4 1            1          186 92.5

# Visualización
ggplot(phishing_bruto, aes(x = domain_in_ip)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por formato ip en dominio", 
       x = "Formato ip en dominio", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Eliminaremos esta variable, ya que unicamente tenemos un 0.22% del total de datos en aquel nivel que parece aportar información relevante para nuestra clasifiación. Casi el 100% de datos se concentra en el 0, donde las proporciones son idénticas a las globales.

Variable server_client_domain

Indica si el dominio contiene las palabras clave “cliente” o “servidor”.

# Anañlisis cuantitativo
phishing_bruto |> count(server_client_domain) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

  server_client_domain     n       porc    cumul
1                    0 88248 99.5499002  99.5499
2                    1   399  0.4500998 100.0000

phishing_bruto |> group_by(server_client_domain) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   server_client_domain [2]
  server_client_domain phishing     n  porc
  <fct>                <fct>    <int> <dbl>
1 0                    0        57747  65.4
2 0                    1        30501  34.6
3 1                    0          253  63.4
4 1                    1          146  36.6

# Visualización
ggplot(phishing_bruto, aes(x = server_client_domain)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por palabras clave cliente o servidor en dominio", 
       x = "Palabras clave cliente o servidor en dominio", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

En este caso, aparte de que apenas tenemos el 0,5% del total de registros en uno de los dos niveles de esta variable, sus proporciones no reflejan información diferenciadora si la comparamos con las proporciones globales. Por otro lado, en el nivel modal, sucede lo mismo que con la variable anterior, por lo que eliminaremos esta variable del modelo.

Variable domain_spf

Indica si el dominio tiene SPF.

# Anañlisis cuantitativo
phishing_bruto |> count(domain_spf) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

  domain_spf     n     porc     cumul
1         -1 14677 16.55668  16.55668
2          0 60882 68.67914  85.23582
3          1 13088 14.76418 100.00000

phishing_bruto |> group_by(domain_spf) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 6 × 4
# Groups:   domain_spf [3]
  domain_spf phishing     n  porc
  <fct>      <fct>    <int> <dbl>
1 -1         0         7780  53.0
2 -1         1         6897  47.0
3 0          0        43348  71.2
4 0          1        17534  28.8
5 1          0         6872  52.5
6 1          1         6216  47.5

# Visualización
ggplot(phishing_bruto, aes(x = domain_spf)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por SPF en dominio", 
       x = "SPF en dominio", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Cuando toma el valor 1 o -1, el porcentaje de phishing es superior. En su valor más frecuente (0), la proporción de legítimas es más elevada. Por lo tanto, podemos reagrupar los niveles 1 y -1 en otro que sea distinto de 0: 0, ≠0.

Variable time_domain_activation y time_domain_expiration

time_domain_activation

# Anañlisis cuantitativo
phishing_bruto |> count(time_domain_activation) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

     time_domain_activation     n         porc     cumul
1                        -1 24354 27.473010931  27.47301
2                         1     1  0.001128070  27.47414
3                         2     6  0.006768419  27.48091
4                         3    16  0.018049116  27.49896
5                         4    22  0.024817535  27.52377
6                         5    29  0.032714023  27.55649
7                         6    19  0.021433325  27.57792
8                         7    28  0.031585953  27.60951
9                         8    47  0.053019279  27.66253
10                        9    40  0.045122790  27.70765
11                       10    28  0.031585953  27.73924
12                       11    42  0.047378930  27.78661
13                       12    35  0.039482442  27.82610
14                       13    42  0.047378930  27.87348
15                       14    38  0.042866651  27.91634
16                       15    40  0.045122790  27.96147
17                       16    38  0.042866651  28.00433
18                       17    19  0.021433325  28.02577
19                       18    19  0.021433325  28.04720
20                       19    21  0.023689465  28.07089
21                       20    24  0.027073674  28.09796
22                       21    39  0.043994721  28.14196
23                       22    32  0.036098232  28.17805
24                       23    20  0.022561395  28.20062
25                       24    16  0.018049116  28.21867
26                       25     9  0.010152628  28.22882
27                       26    18  0.020305256  28.24912
28                       27    16  0.018049116  28.26717
29                       28    28  0.031585953  28.29876
30                       29    27  0.030457884  28.32922
31                       30    10  0.011280698  28.34050
32                       31    36  0.040610511  28.38111
33                       32    13  0.014664907  28.39577
34                       33    24  0.027073674  28.42285
35                       34    22  0.024817535  28.44766
36                       35     8  0.009024558  28.45669
37                       36    24  0.027073674  28.48376
38                       37    18  0.020305256  28.50407
39                       38    21  0.023689465  28.52776
40                       39     2  0.002256140  28.53001
41                       40     8  0.009024558  28.53904
42                       41    12  0.013536837  28.55257
43                       42    19  0.021433325  28.57401
44                       43    13  0.014664907  28.58867
45                       44    20  0.022561395  28.61123
46                       45    11  0.012408767  28.62364
47                       46    14  0.015792977  28.63944
48                       47     7  0.007896488  28.64733
49                       48    12  0.013536837  28.66087
50                       49     9  0.010152628  28.67102
51                       50    81  0.091373651  28.76239
52                       51    13  0.014664907  28.77706
53                       52    11  0.012408767  28.78947
54                       53     6  0.006768419  28.79624
55                       54    12  0.013536837  28.80977
56                       55     8  0.009024558  28.81880
57                       56     9  0.010152628  28.82895
58                       57     8  0.009024558  28.83798
59                       58    16  0.018049116  28.85602
60                       59    19  0.021433325  28.87746
61                       60    15  0.016921046  28.89438
62                       61    15  0.016921046  28.91130
63                       62    20  0.022561395  28.93386
64                       63    17  0.019177186  28.95304
65                       64    20  0.022561395  28.97560
66                       65    12  0.013536837  28.98914
67                       66    25  0.028201744  29.01734
68                       67     5  0.005640349  29.02298
69                       68    18  0.020305256  29.04328
70                       69    23  0.025945604  29.06923
71                       70    13  0.014664907  29.08389
72                       71    14  0.015792977  29.09969
73                       72     9  0.010152628  29.10984
74                       73     9  0.010152628  29.11999
75                       74     9  0.010152628  29.13015
76                       75    11  0.012408767  29.14255
77                       76     9  0.010152628  29.15271
78                       77    11  0.012408767  29.16512
79                       78     7  0.007896488  29.17301
80                       79    14  0.015792977  29.18881
81                       80    11  0.012408767  29.20121
82                       81     9  0.010152628  29.21137
83                       82     9  0.010152628  29.22152
84                       83    19  0.021433325  29.24295
85                       84    12  0.013536837  29.25649
86                       85     9  0.010152628  29.26664
87                       86    13  0.014664907  29.28131
88                       87    17  0.019177186  29.30048
89                       88     9  0.010152628  29.31064
90                       89    13  0.014664907  29.32530
91                       90    12  0.013536837  29.33884
92                       91    11  0.012408767  29.35125
93                       92    19  0.021433325  29.37268
94                       93    13  0.014664907  29.38735
95                       94     7  0.007896488  29.39524
96                       95     5  0.005640349  29.40088
97                       96    12  0.013536837  29.41442
98                       97    11  0.012408767  29.42683
99                       98     8  0.009024558  29.43585
100                      99     2  0.002256140  29.43811
101                     100     7  0.007896488  29.44600
102                     101    11  0.012408767  29.45841
103                     102    13  0.014664907  29.47308
104                     103     2  0.002256140  29.47533
105                     104     8  0.009024558  29.48436
106                     105     6  0.006768419  29.49113
107                     106    10  0.011280698  29.50241
108                     107     9  0.010152628  29.51256
109                     108     8  0.009024558  29.52159
110                     109     8  0.009024558  29.53061
111                     110     8  0.009024558  29.53963
112                     111    11  0.012408767  29.55204
113                     112     5  0.005640349  29.55768
114                     113     7  0.007896488  29.56558
115                     114    15  0.016921046  29.58250
116                     115    14  0.015792977  29.59829
117                     116     8  0.009024558  29.60732
118                     117    20  0.022561395  29.62988
119                     118     5  0.005640349  29.63552
120                     119    12  0.013536837  29.64906
121                     120     5  0.005640349  29.65470
122                     121     5  0.005640349  29.66034
123                     122     7  0.007896488  29.66823
124                     123     9  0.010152628  29.67839
125                     124     6  0.006768419  29.68516
126                     125    13  0.014664907  29.69982
127                     126     6  0.006768419  29.70659
128                     127     9  0.010152628  29.71674
129                     128    15  0.016921046  29.73366
130                     129    19  0.021433325  29.75510
131                     130     4  0.004512279  29.75961
132                     131     3  0.003384209  29.76299
133                     132     2  0.002256140  29.76525
134                     133    14  0.015792977  29.78104
135                     134    17  0.019177186  29.80022
136                     135    16  0.018049116  29.81827
137                     136     7  0.007896488  29.82616
138                     137     4  0.004512279  29.83068
139                     138     4  0.004512279  29.83519
140                     139     9  0.010152628  29.84534
141                     140    11  0.012408767  29.85775
142                     141     7  0.007896488  29.86565
143                     142    16  0.018049116  29.88370
144                     143    14  0.015792977  29.89949
145                     144    15  0.016921046  29.91641
146                     145     9  0.010152628  29.92656
147                     146    15  0.016921046  29.94348
148                     147    16  0.018049116  29.96153
149                     148    14  0.015792977  29.97733
150                     149    12  0.013536837  29.99086
151                     150    10  0.011280698  30.00214
152                     151    21  0.023689465  30.02583
153                     152     4  0.004512279  30.03035
154                     153     9  0.010152628  30.04050
155                     154     8  0.009024558  30.04952
156                     155    10  0.011280698  30.06080
157                     156     3  0.003384209  30.06419
158                     157     8  0.009024558  30.07321
159                     158     6  0.006768419  30.07998
160                     159     8  0.009024558  30.08900
161                     160     8  0.009024558  30.09803
162                     161    15  0.016921046  30.11495
163                     162     9  0.010152628  30.12510
164                     163     7  0.007896488  30.13300
165                     164     4  0.004512279  30.13751
166                     165     7  0.007896488  30.14541
167                     166     8  0.009024558  30.15443
168                     167     2  0.002256140  30.15669
169                     168    12  0.013536837  30.17023
170                     169    12  0.013536837  30.18376
171                     170    16  0.018049116  30.20181
172                     171    15  0.016921046  30.21873
173                     172    11  0.012408767  30.23114
174                     173     6  0.006768419  30.23791
175                     174     8  0.009024558  30.24693
176                     175     7  0.007896488  30.25483
177                     176    13  0.014664907  30.26950
178                     177     9  0.010152628  30.27965
179                     178    14  0.015792977  30.29544
180                     179     7  0.007896488  30.30334
181                     180     8  0.009024558  30.31236
182                     181     4  0.004512279  30.31687
183                     182     6  0.006768419  30.32364
184                     183    13  0.014664907  30.33831
185                     184    27  0.030457884  30.36877
186                     185    10  0.011280698  30.38005
187                     186     9  0.010152628  30.39020
188                     187    10  0.011280698  30.40148
189                     188    12  0.013536837  30.41502
190                     189     6  0.006768419  30.42179
191                     190    11  0.012408767  30.43419
192                     191    11  0.012408767  30.44660
193                     192     6  0.006768419  30.45337
194                     193    11  0.012408767  30.46578
195                     194     6  0.006768419  30.47255
196                     195     4  0.004512279  30.47706
197                     196     1  0.001128070  30.47819
198                     197     5  0.005640349  30.48383
199                     198    12  0.013536837  30.49737
200                     199    25  0.028201744  30.52557
201                     200     8  0.009024558  30.53459
202                     201    13  0.014664907  30.54926
203                     202     7  0.007896488  30.55715
204                     203     5  0.005640349  30.56279
205                     204     5  0.005640349  30.56843
206                     205     5  0.005640349  30.57407
207                     206     6  0.006768419  30.58084
208                     207     1  0.001128070  30.58197
209                     208    13  0.014664907  30.59664
210                     209    30  0.033842093  30.63048
211                     210    26  0.029329814  30.65981
212                     211    10  0.011280698  30.67109
213                     212     2  0.002256140  30.67334
214                     213     6  0.006768419  30.68011
215                     214     8  0.009024558  30.68914
216                     215     5  0.005640349  30.69478
217                     216     8  0.009024558  30.70380
218                     217    12  0.013536837  30.71734
219                     218     5  0.005640349  30.72298
220                     219    11  0.012408767  30.73539
221                     220    19  0.021433325  30.75682
222                     221    14  0.015792977  30.77261
223                     222     6  0.006768419  30.77938
224                     223     3  0.003384209  30.78277
225                     224     9  0.010152628  30.79292
226                     225     5  0.005640349  30.79856
227                     226     2  0.002256140  30.80082
228                     227    18  0.020305256  30.82112
229                     228    11  0.012408767  30.83353
230                     229     4  0.004512279  30.83804
231                     230     3  0.003384209  30.84143
232                     231    15  0.016921046  30.85835
233                     232     5  0.005640349  30.86399
234                     233    11  0.012408767  30.87640
235                     234     9  0.010152628  30.88655
236                     235    16  0.018049116  30.90460
237                     236     6  0.006768419  30.91137
238                     237     5  0.005640349  30.91701
239                     238    15  0.016921046  30.93393
240                     239     8  0.009024558  30.94295
241                     240     4  0.004512279  30.94747
242                     241     9  0.010152628  30.95762
243                     242     7  0.007896488  30.96551
244                     243     6  0.006768419  30.97228
245                     244     5  0.005640349  30.97792
246                     245     9  0.010152628  30.98808
247                     246     6  0.006768419  30.99484
248                     247     7  0.007896488  31.00274
249                     248     4  0.004512279  31.00725
250                     249     6  0.006768419  31.01402
251                     250     7  0.007896488  31.02192
252                     251     3  0.003384209  31.02530
253                     252     8  0.009024558  31.03433
254                     253     6  0.006768419  31.04110
255                     254     6  0.006768419  31.04786
256                     255     7  0.007896488  31.05576
257                     256     8  0.009024558  31.06479
258                     257     8  0.009024558  31.07381
259                     258    28  0.031585953  31.10540
260                     259    10  0.011280698  31.11668
261                     260     4  0.004512279  31.12119
262                     261     5  0.005640349  31.12683
263                     262     6  0.006768419  31.13360
264                     263     8  0.009024558  31.14262
265                     264     3  0.003384209  31.14601
266                     265    12  0.013536837  31.15954
267                     266     5  0.005640349  31.16518
268                     267    11  0.012408767  31.17759
269                     268     8  0.009024558  31.18662
270                     269     6  0.006768419  31.19338
271                     270     9  0.010152628  31.20354
272                     271     4  0.004512279  31.20805
273                     272     3  0.003384209  31.21143
274                     273     6  0.006768419  31.21820
275                     274     2  0.002256140  31.22046
276                     275     7  0.007896488  31.22836
277                     276    16  0.018049116  31.24640
278                     277     3  0.003384209  31.24979
279                     278    12  0.013536837  31.26333
280                     279     7  0.007896488  31.27122
281                     280    11  0.012408767  31.28363
282                     281    11  0.012408767  31.29604
283                     282     9  0.010152628  31.30619
284                     283     7  0.007896488  31.31409
285                     284    13  0.014664907  31.32875
286                     285     3  0.003384209  31.33214
287                     286    11  0.012408767  31.34455
288                     287    17  0.019177186  31.36372
289                     288    17  0.019177186  31.38290
290                     289     5  0.005640349  31.38854
291                     290    25  0.028201744  31.41674
292                     291    23  0.025945604  31.44269
293                     292     6  0.006768419  31.44946
294                     293     7  0.007896488  31.45735
295                     294     8  0.009024558  31.46638
296                     295     6  0.006768419  31.47315
297                     296    11  0.012408767  31.48556
298                     297    13  0.014664907  31.50022
299                     298    14  0.015792977  31.51601
300                     299     3  0.003384209  31.51940
301                     300     3  0.003384209  31.52278
302                     301     5  0.005640349  31.52842
303                     302    15  0.016921046  31.54534
304                     303     3  0.003384209  31.54873
305                     304    28  0.031585953  31.58031
306                     305    19  0.021433325  31.60175
307                     306    27  0.030457884  31.63220
308                     307     7  0.007896488  31.64010
309                     308    12  0.013536837  31.65364
310                     309    13  0.014664907  31.66830
311                     310    17  0.019177186  31.68748
312                     311     4  0.004512279  31.69199
313                     312     5  0.005640349  31.69763
314                     313     8  0.009024558  31.70666
315                     314     4  0.004512279  31.71117
316                     315     6  0.006768419  31.71794
317                     316     8  0.009024558  31.72696
318                     317     8  0.009024558  31.73599
319                     318     8  0.009024558  31.74501
320                     319    11  0.012408767  31.75742
321                     320     6  0.006768419  31.76419
322                     321    14  0.015792977  31.77998
323                     322    12  0.013536837  31.79352
324                     323     2  0.002256140  31.79577
325                     324     6  0.006768419  31.80254
326                     325    20  0.022561395  31.82510
327                     326    20  0.022561395  31.84767
328                     327     7  0.007896488  31.85556
329                     328     4  0.004512279  31.86007
330                     329    17  0.019177186  31.87925
331                     330    32  0.036098232  31.91535
332                     331    32  0.036098232  31.95145
333                     332    27  0.030457884  31.98191
334                     333     5  0.005640349  31.98755
335                     334    17  0.019177186  32.00672
336                     335    12  0.013536837  32.02026
337                     336    30  0.033842093  32.05410
338                     337     6  0.006768419  32.06087
339                     338    28  0.031585953  32.09246
340                     339    10  0.011280698  32.10374
341                     340     7  0.007896488  32.11163
342                     341     9  0.010152628  32.12179
343                     342     6  0.006768419  32.12855
344                     343     5  0.005640349  32.13420
345                     344     3  0.003384209  32.13758
346                     345    26  0.029329814  32.16691
347                     346     8  0.009024558  32.17593
348                     347    10  0.011280698  32.18721
349                     348     8  0.009024558  32.19624
350                     349     4  0.004512279  32.20075
351                     350     5  0.005640349  32.20639
352                     351     4  0.004512279  32.21090
353                     352     3  0.003384209  32.21429
354                     353    14  0.015792977  32.23008
355                     354     3  0.003384209  32.23347
356                     355     5  0.005640349  32.23911
357                     356     1  0.001128070  32.24023
358                     357     5  0.005640349  32.24587
359                     358     8  0.009024558  32.25490
360                     359     8  0.009024558  32.26392
361                     360    10  0.011280698  32.27520
362                     361    11  0.012408767  32.28761
363                     362     4  0.004512279  32.29212
364                     363     3  0.003384209  32.29551
365                     364    13  0.014664907  32.31017
366                     365    26  0.029329814  32.33950
367                     366    13  0.014664907  32.35417
368                     367    28  0.031585953  32.38575
369                     368     1  0.001128070  32.38688
370                     369     7  0.007896488  32.39478
371                     370    16  0.018049116  32.41283
372                     371    13  0.014664907  32.42749
373                     372     9  0.010152628  32.43765
374                     373     8  0.009024558  32.44667
375                     374    12  0.013536837  32.46021
376                     375     5  0.005640349  32.46585
377                     376     4  0.004512279  32.47036
378                     377     5  0.005640349  32.47600
379                     378    11  0.012408767  32.48841
380                     379    29  0.032714023  32.52112
381                     380     7  0.007896488  32.52902
382                     381     3  0.003384209  32.53240
383                     382     3  0.003384209  32.53579
384                     383     9  0.010152628  32.54594
385                     384     8  0.009024558  32.55497
386                     385    12  0.013536837  32.56850
387                     386    15  0.016921046  32.58542
388                     387     5  0.005640349  32.59106
389                     388     1  0.001128070  32.59219
390                     389     6  0.006768419  32.59896
391                     390     2  0.002256140  32.60122
392                     391     5  0.005640349  32.60686
393                     392     4  0.004512279  32.61137
394                     393     4  0.004512279  32.61588
395                     394     8  0.009024558  32.62491
396                     395     5  0.005640349  32.63055
397                     396    13  0.014664907  32.64521
398                     397     6  0.006768419  32.65198
399                     398     5  0.005640349  32.65762
400                     399    11  0.012408767  32.67003
401                     400    14  0.015792977  32.68582
402                     401     7  0.007896488  32.69372
403                     402     2  0.002256140  32.69597
404                     403     5  0.005640349  32.70161
405                     404     4  0.004512279  32.70613
406                     405     7  0.007896488  32.71402
407                     406     4  0.004512279  32.71854
408                     407     8  0.009024558  32.72756
409                     408     5  0.005640349  32.73320
410                     409     5  0.005640349  32.73884
411                     410     3  0.003384209  32.74222
412                     411     7  0.007896488  32.75012
413                     412     4  0.004512279  32.75463
414                     413     1  0.001128070  32.75576
415                     414    18  0.020305256  32.77607
416                     415     4  0.004512279  32.78058
417                     416     4  0.004512279  32.78509
418                     417     4  0.004512279  32.78960
419                     418     3  0.003384209  32.79299
420                     419     2  0.002256140  32.79524
421                     420    17  0.019177186  32.81442
422                     421     7  0.007896488  32.82232
423                     422     4  0.004512279  32.82683
424                     423     4  0.004512279  32.83134
425                     424     4  0.004512279  32.83585
426                     425     4  0.004512279  32.84037
427                     426     1  0.001128070  32.84149
428                     427     4  0.004512279  32.84601
429                     428     4  0.004512279  32.85052
430                     429     3  0.003384209  32.85390
431                     430    15  0.016921046  32.87082
432                     431     5  0.005640349  32.87647
433                     432     8  0.009024558  32.88549
434                     433     3  0.003384209  32.88887
435                     434     9  0.010152628  32.89903
436                     435     5  0.005640349  32.90467
437                     436     8  0.009024558  32.91369
438                     437     3  0.003384209  32.91708
439                     438     1  0.001128070  32.91820
440                     439     2  0.002256140  32.92046
441                     440     1  0.001128070  32.92159
442                     441     3  0.003384209  32.92497
443                     442     6  0.006768419  32.93174
444                     443     7  0.007896488  32.93964
445                     444     7  0.007896488  32.94753
446                     445     1  0.001128070  32.94866
447                     446     5  0.005640349  32.95430
448                     447     3  0.003384209  32.95769
449                     448     5  0.005640349  32.96333
450                     449    23  0.025945604  32.98927
451                     450     1  0.001128070  32.99040
452                     451    12  0.013536837  33.00394
453                     452     7  0.007896488  33.01183
454                     453     2  0.002256140  33.01409
455                     454     2  0.002256140  33.01635
456                     455     4  0.004512279  33.02086
457                     456     6  0.006768419  33.02763
458                     457     5  0.005640349  33.03327
459                     458     1  0.001128070  33.03439
460                     459     5  0.005640349  33.04004
461                     460     3  0.003384209  33.04342
462                     461     4  0.004512279  33.04793
463                     462     3  0.003384209  33.05132
464                     463     3  0.003384209  33.05470
465                     464     1  0.001128070  33.05583
466                     465     4  0.004512279  33.06034
467                     466     2  0.002256140  33.06260
468                     467     3  0.003384209  33.06598
469                     468     1  0.001128070  33.06711
470                     469     1  0.001128070  33.06824
471                     470     6  0.006768419  33.07501
472                     471     4  0.004512279  33.07952
473                     472     6  0.006768419  33.08629
474                     473     1  0.001128070  33.08741
475                     474     4  0.004512279  33.09193
476                     475     3  0.003384209  33.09531
477                     476     1  0.001128070  33.09644
478                     477    11  0.012408767  33.10885
479                     478    18  0.020305256  33.12915
480                     479     1  0.001128070  33.13028
481                     480     3  0.003384209  33.13366
482                     481     8  0.009024558  33.14269
483                     482     4  0.004512279  33.14720
484                     483    10  0.011280698  33.15848
485                     484     5  0.005640349  33.16412
486                     485    14  0.015792977  33.17992
487                     486     2  0.002256140  33.18217
488                     488     1  0.001128070  33.18330
489                     489     2  0.002256140  33.18556
490                     490     5  0.005640349  33.19120
491                     491     8  0.009024558  33.20022
492                     492     5  0.005640349  33.20586
493                     493     1  0.001128070  33.20699
494                     494     2  0.002256140  33.20925
495                     495     1  0.001128070  33.21037
496                     496     3  0.003384209  33.21376
497                     497     1  0.001128070  33.21489
498                     498     2  0.002256140  33.21714
499                     499     2  0.002256140  33.21940
500                     500    19  0.021433325  33.24083
501                     501     2  0.002256140  33.24309
502                     502     6  0.006768419  33.24986
503                     503     4  0.004512279  33.25437
504                     504     2  0.002256140  33.25662
505                     505     7  0.007896488  33.26452
506                     506     4  0.004512279  33.26903
507                     507    12  0.013536837  33.28257
508                     508     4  0.004512279  33.28708
509                     509     2  0.002256140  33.28934
510                     510     3  0.003384209  33.29272
511                     511     4  0.004512279  33.29724
512                     512     1  0.001128070  33.29836
513                     513     7  0.007896488  33.30626
514                     514     3  0.003384209  33.30964
515                     515     1  0.001128070  33.31077
516                     516     2  0.002256140  33.31303
517                     517     9  0.010152628  33.32318
518                     519    23  0.025945604  33.34913
519                     520     6  0.006768419  33.35589
520                     521     9  0.010152628  33.36605
521                     522     5  0.005640349  33.37169
522                     523     3  0.003384209  33.37507
523                     524     4  0.004512279  33.37958
524                     525     5  0.005640349  33.38522
525                     526     2  0.002256140  33.38748
526                     527     9  0.010152628  33.39763
527                     528     7  0.007896488  33.40553
528                     529     4  0.004512279  33.41004
529                     530     6  0.006768419  33.41681
530                     531     7  0.007896488  33.42471
531                     532     2  0.002256140  33.42696
532                     533     4  0.004512279  33.43148
533                     534     9  0.010152628  33.44163
534                     535     7  0.007896488  33.44952
535                     536     6  0.006768419  33.45629
536                     537     7  0.007896488  33.46419
537                     538     4  0.004512279  33.46870
538                     539     2  0.002256140  33.47096
539                     540     6  0.006768419  33.47773
540                     542     8  0.009024558  33.48675
541                     543     5  0.005640349  33.49239
542                     544     7  0.007896488  33.50029
543                     545    11  0.012408767  33.51270
544                     546     1  0.001128070  33.51382
545                     547     2  0.002256140  33.51608
546                     548     3  0.003384209  33.51946
547                     549     8  0.009024558  33.52849
548                     550     2  0.002256140  33.53075
549                     551     1  0.001128070  33.53187
550                     552     5  0.005640349  33.53751
551                     553     3  0.003384209  33.54090
552                     554     2  0.002256140  33.54315
553                     555     3  0.003384209  33.54654
554                     556     4  0.004512279  33.55105
555                     557     4  0.004512279  33.55556
556                     558     5  0.005640349  33.56120
557                     559     4  0.004512279  33.56572
558                     560     7  0.007896488  33.57361
559                     561     3  0.003384209  33.57700
560                     562     5  0.005640349  33.58264
561                     563     5  0.005640349  33.58828
562                     564     3  0.003384209  33.59166
563                     565    89  0.100398209  33.69206
564                     566     3  0.003384209  33.69544
565                     567     1  0.001128070  33.69657
566                     568     8  0.009024558  33.70560
567                     569     5  0.005640349  33.71124
568                     570     2  0.002256140  33.71349
569                     571     5  0.005640349  33.71913
570                     572     3  0.003384209  33.72252
571                     573     9  0.010152628  33.73267
572                     574     3  0.003384209  33.73605
573                     575     5  0.005640349  33.74169
574                     576    11  0.012408767  33.75410
575                     577     4  0.004512279  33.75862
576                     578     9  0.010152628  33.76877
577                     579    10  0.011280698  33.78005
578                     580     7  0.007896488  33.78795
579                     582     5  0.005640349  33.79359
580                     583     8  0.009024558  33.80261
581                     584     2  0.002256140  33.80487
582                     585     3  0.003384209  33.80825
583                     586     4  0.004512279  33.81276
584                     587     3  0.003384209  33.81615
585                     588     1  0.001128070  33.81728
586                     589     6  0.006768419  33.82404
587                     590     5  0.005640349  33.82968
588                     591     2  0.002256140  33.83194
589                     592    12  0.013536837  33.84548
590                     593     3  0.003384209  33.84886
591                     594     1  0.001128070  33.84999
592                     595     8  0.009024558  33.85901
593                     596     5  0.005640349  33.86465
594                     597     2  0.002256140  33.86691
595                     598     4  0.004512279  33.87142
596                     599     7  0.007896488  33.87932
597                     600     5  0.005640349  33.88496
598                     601     7  0.007896488  33.89286
599                     602     4  0.004512279  33.89737
600                     603     5  0.005640349  33.90301
601                     605     3  0.003384209  33.90639
602                     606     1  0.001128070  33.90752
603                     607     2  0.002256140  33.90978
604                     608     3  0.003384209  33.91316
605                     609     1  0.001128070  33.91429
606                     610     5  0.005640349  33.91993
607                     611     5  0.005640349  33.92557
608                     612     4  0.004512279  33.93008
609                     614     2  0.002256140  33.93234
610                     615     2  0.002256140  33.93459
611                     616     1  0.001128070  33.93572
612                     617     8  0.009024558  33.94475
613                     618     5  0.005640349  33.95039
614                     619     2  0.002256140  33.95264
615                     620     5  0.005640349  33.95828
616                     621     2  0.002256140  33.96054
617                     622     2  0.002256140  33.96280
618                     623     2  0.002256140  33.96505
619                     625     8  0.009024558  33.97408
620                     626     7  0.007896488  33.98197
621                     627     1  0.001128070  33.98310
622                     628     3  0.003384209  33.98649
623                     629     1  0.001128070  33.98761
624                     630     4  0.004512279  33.99213
625                     631     6  0.006768419  33.99889
626                     632     4  0.004512279  34.00341
627                     633     1  0.001128070  34.00453
628                     634     9  0.010152628  34.01469
629                     635     3  0.003384209  34.01807
630                     636     6  0.006768419  34.02484
631                     637    13  0.014664907  34.03951
632                     638     4  0.004512279  34.04402
633                     639     8  0.009024558  34.05304
634                     640     9  0.010152628  34.06319
635                     641     3  0.003384209  34.06658
636                     642     3  0.003384209  34.06996
637                     643     3  0.003384209  34.07335
638                     644     6  0.006768419  34.08012
639                     645     4  0.004512279  34.08463
640                     646     6  0.006768419  34.09140
641                     647     3  0.003384209  34.09478
642                     648     8  0.009024558  34.10380
643                     649    16  0.018049116  34.12185
644                     650     5  0.005640349  34.12749
645                     651     4  0.004512279  34.13201
646                     652     7  0.007896488  34.13990
647                     653     7  0.007896488  34.14780
648                     654    15  0.016921046  34.16472
649                     655     3  0.003384209  34.16810
650                     656     5  0.005640349  34.17375
651                     657     1  0.001128070  34.17487
652                     658    39  0.043994721  34.21887
653                     659     9  0.010152628  34.22902
654                     660     4  0.004512279  34.23353
655                     661     7  0.007896488  34.24143
656                     662     3  0.003384209  34.24481
657                     663     2  0.002256140  34.24707
658                     664     5  0.005640349  34.25271
659                     666     3  0.003384209  34.25609
660                     667     6  0.006768419  34.26286
661                     668     2  0.002256140  34.26512
662                     669     9  0.010152628  34.27527
663                     670     4  0.004512279  34.27978
664                     671     2  0.002256140  34.28204
665                     672     4  0.004512279  34.28655
666                     674     8  0.009024558  34.29558
667                     675     3  0.003384209  34.29896
668                     676     3  0.003384209  34.30235
669                     677     7  0.007896488  34.31024
670                     678     2  0.002256140  34.31250
671                     679     8  0.009024558  34.32152
672                     680     8  0.009024558  34.33055
673                     681    39  0.043994721  34.37454
674                     682     5  0.005640349  34.38018
675                     683     7  0.007896488  34.38808
676                     684     1  0.001128070  34.38921
677                     685     3  0.003384209  34.39259
678                     686     6  0.006768419  34.39936
679                     687     6  0.006768419  34.40613
680                     688     7  0.007896488  34.41402
681                     689    12  0.013536837  34.42756
682                     690     4  0.004512279  34.43207
683                     691     8  0.009024558  34.44110
684                     692     5  0.005640349  34.44674
685                     693     8  0.009024558  34.45576
686                     694     7  0.007896488  34.46366
687                     695     2  0.002256140  34.46592
688                     696     9  0.010152628  34.47607
689                     697     7  0.007896488  34.48396
690                     698     7  0.007896488  34.49186
691                     699     1  0.001128070  34.49299
692                     700     9  0.010152628  34.50314
693                     701     1  0.001128070  34.50427
694                     702     4  0.004512279  34.50878
695                     703     5  0.005640349  34.51442
696                     704     7  0.007896488  34.52232
697                     706     5  0.005640349  34.52796
698                     707     4  0.004512279  34.53247
699                     708    10  0.011280698  34.54375
700                     709     6  0.006768419  34.55052
701                     710     7  0.007896488  34.55842
702                     711     6  0.006768419  34.56519
703                     712     2  0.002256140  34.56744
704                     713     2  0.002256140  34.56970
705                     714     6  0.006768419  34.57647
706                     715    15  0.016921046  34.59339
707                     716     4  0.004512279  34.59790
708                     717     3  0.003384209  34.60128
709                     718    21  0.023689465  34.62497
710                     719     1  0.001128070  34.62610
711                     720     3  0.003384209  34.62949
712                     721     4  0.004512279  34.63400
713                     722     4  0.004512279  34.63851
714                     723     4  0.004512279  34.64302
715                     724     1  0.001128070  34.64415
716                     725     7  0.007896488  34.65205
717                     726     1  0.001128070  34.65317
718                     727     3  0.003384209  34.65656
719                     728    16  0.018049116  34.67461
720                     729    14  0.015792977  34.69040
721                     730    10  0.011280698  34.70168
722                     731     7  0.007896488  34.70958
723                     732     2  0.002256140  34.71183
724                     733     7  0.007896488  34.71973
725                     734    12  0.013536837  34.73327
726                     735     3  0.003384209  34.73665
727                     736     2  0.002256140  34.73891
728                     737     4  0.004512279  34.74342
729                     738     8  0.009024558  34.75245
730                     739     2  0.002256140  34.75470
731                     740     3  0.003384209  34.75809
732                     741     4  0.004512279  34.76260
733                     742    14  0.015792977  34.77839
734                     743    11  0.012408767  34.79080
735                     744     7  0.007896488  34.79870
736                     745    14  0.015792977  34.81449
737                     746     4  0.004512279  34.81900
738                     747     4  0.004512279  34.82351
739                     748     1  0.001128070  34.82464
740                     749     3  0.003384209  34.82803
741                     750     1  0.001128070  34.82915
742                     751    11  0.012408767  34.84156
743                     752     2  0.002256140  34.84382
744                     753    13  0.014664907  34.85848
745                     754     4  0.004512279  34.86300
746                     755     3  0.003384209  34.86638
747                     756     5  0.005640349  34.87202
748                     757     5  0.005640349  34.87766
749                     758     6  0.006768419  34.88443
750                     759     4  0.004512279  34.88894
751                     760     8  0.009024558  34.89797
752                     761     1  0.001128070  34.89909
753                     762     7  0.007896488  34.90699
754                     763     4  0.004512279  34.91150
755                     764     2  0.002256140  34.91376
756                     765     6  0.006768419  34.92053
757                     766     3  0.003384209  34.92391
758                     767     3  0.003384209  34.92730
759                     768     7  0.007896488  34.93519
760                     769     6  0.006768419  34.94196
761                     770     4  0.004512279  34.94647
762                     771     2  0.002256140  34.94873
763                     772     4  0.004512279  34.95324
764                     773     6  0.006768419  34.96001
765                     774     8  0.009024558  34.96903
766                     775     3  0.003384209  34.97242
767                     776     9  0.010152628  34.98257
768                     777     7  0.007896488  34.99047
769                     778     5  0.005640349  34.99611
770                     779     8  0.009024558  35.00513
771                     780     8  0.009024558  35.01416
772                     781    22  0.024817535  35.03897
773                     782     2  0.002256140  35.04123
774                     783     5  0.005640349  35.04687
775                     784     2  0.002256140  35.04913
776                     785     6  0.006768419  35.05590
777                     786     2  0.002256140  35.05815
778                     787     5  0.005640349  35.06379
779                     788     4  0.004512279  35.06830
780                     789     3  0.003384209  35.07169
781                     790     2  0.002256140  35.07394
782                     791     1  0.001128070  35.07507
783                     792    12  0.013536837  35.08861
784                     793    25  0.028201744  35.11681
785                     794     4  0.004512279  35.12132
786                     795     9  0.010152628  35.13148
787                     796    10  0.011280698  35.14276
788                     798     1  0.001128070  35.14389
789                     799     6  0.006768419  35.15065
790                     800    10  0.011280698  35.16193
791                     801     7  0.007896488  35.16983
792                     802     4  0.004512279  35.17434
793                     803     6  0.006768419  35.18111
794                     804    11  0.012408767  35.19352
795                     805     4  0.004512279  35.19803
796                     806    11  0.012408767  35.21044
797                     807    26  0.029329814  35.23977
798                     808     6  0.006768419  35.24654
799                     809     7  0.007896488  35.25444
800                     810    19  0.021433325  35.27587
801                     811     4  0.004512279  35.28038
802                     812     3  0.003384209  35.28377
803                     813     3  0.003384209  35.28715
804                     814     3  0.003384209  35.29053
805                     815     6  0.006768419  35.29730
806                     816     6  0.006768419  35.30407
807                     817     1  0.001128070  35.30520
808                     818     1  0.001128070  35.30633
809                     819    14  0.015792977  35.32212
810                     820     5  0.005640349  35.32776
811                     821    19  0.021433325  35.34919
812                     822     2  0.002256140  35.35145
813                     823     2  0.002256140  35.35371
814                     824     3  0.003384209  35.35709
815                     825     5  0.005640349  35.36273
816                     827     6  0.006768419  35.36950
817                     828     4  0.004512279  35.37401
818                     829     6  0.006768419  35.38078
819                     830     2  0.002256140  35.38304
820                     831     3  0.003384209  35.38642
821                     832     6  0.006768419  35.39319
822                     833     3  0.003384209  35.39657
823                     834     3  0.003384209  35.39996
824                     835     5  0.005640349  35.40560
825                     836     1  0.001128070  35.40673
826                     837     7  0.007896488  35.41462
827                     839     2  0.002256140  35.41688
828                     840     8  0.009024558  35.42590
829                     841     8  0.009024558  35.43493
830                     842     3  0.003384209  35.43831
831                     843     4  0.004512279  35.44282
832                     844     1  0.001128070  35.44395
833                     846     5  0.005640349  35.44959
834                     847     1  0.001128070  35.45072
835                     848    10  0.011280698  35.46200
836                     849     9  0.010152628  35.47215
837                     850     5  0.005640349  35.47779
838                     852     4  0.004512279  35.48231
839                     853     3  0.003384209  35.48569
840                     854     2  0.002256140  35.48795
841                     855     4  0.004512279  35.49246
842                     856     7  0.007896488  35.50036
843                     857     4  0.004512279  35.50487
844                     858     2  0.002256140  35.50712
845                     859     1  0.001128070  35.50825
846                     861     1  0.001128070  35.50938
847                     862     6  0.006768419  35.51615
848                     863     2  0.002256140  35.51840
849                     864     8  0.009024558  35.52743
850                     865     5  0.005640349  35.53307
851                     866     7  0.007896488  35.54097
852                     867     2  0.002256140  35.54322
853                     869     6  0.006768419  35.54999
854                     870    13  0.014664907  35.56466
855                     871     3  0.003384209  35.56804
856                     872     6  0.006768419  35.57481
857                     873     2  0.002256140  35.57706
858                     874     3  0.003384209  35.58045
859                     875     7  0.007896488  35.58834
860                     876     3  0.003384209  35.59173
861                     877     1  0.001128070  35.59286
862                     878     4  0.004512279  35.59737
863                     879     8  0.009024558  35.60639
864                     880     8  0.009024558  35.61542
865                     881     1  0.001128070  35.61655
866                     882    10  0.011280698  35.62783
867                     883     5  0.005640349  35.63347
868                     884    10  0.011280698  35.64475
869                     885     1  0.001128070  35.64588
870                     886     8  0.009024558  35.65490
871                     887     2  0.002256140  35.65716
872                     888     5  0.005640349  35.66280
873                     889     3  0.003384209  35.66618
874                     890    11  0.012408767  35.67859
875                     891     2  0.002256140  35.68085
876                     892     6  0.006768419  35.68761
877                     893     1  0.001128070  35.68874
878                     895     4  0.004512279  35.69326
879                     896    13  0.014664907  35.70792
880                     897     3  0.003384209  35.71130
881                     898     2  0.002256140  35.71356
882                     899     3  0.003384209  35.71694
883                     900     8  0.009024558  35.72597
884                     901     2  0.002256140  35.72823
885                     902     4  0.004512279  35.73274
886                     903     3  0.003384209  35.73612
887                     904     8  0.009024558  35.74515
888                     905     3  0.003384209  35.74853
889                     906     2  0.002256140  35.75079
890                     907     1  0.001128070  35.75191
891                     908     5  0.005640349  35.75756
892                     909     3  0.003384209  35.76094
893                     910     2  0.002256140  35.76320
894                     911     3  0.003384209  35.76658
895                     912     9  0.010152628  35.77673
896                     913    13  0.014664907  35.79140
897                     914     6  0.006768419  35.79817
898                     915     6  0.006768419  35.80493
899                     916     6  0.006768419  35.81170
900                     917     6  0.006768419  35.81847
901                     918     1  0.001128070  35.81960
902                     919    21  0.023689465  35.84329
903                     920     9  0.010152628  35.85344
904                     921     3  0.003384209  35.85683
905                     922     5  0.005640349  35.86247
906                     923     1  0.001128070  35.86359
907                     924     7  0.007896488  35.87149
908                     925     8  0.009024558  35.88051
909                     926     7  0.007896488  35.88841
910                     927     4  0.004512279  35.89292
911                     928     5  0.005640349  35.89856
912                     929     5  0.005640349  35.90420
913                     930     4  0.004512279  35.90872
914                     931     5  0.005640349  35.91436
915                     932     5  0.005640349  35.92000
916                     933     9  0.010152628  35.93015
917                     934     3  0.003384209  35.93353
918                     935    18  0.020305256  35.95384
919                     936     1  0.001128070  35.95497
920                     937     3  0.003384209  35.95835
921                     939     4  0.004512279  35.96286
922                     940     3  0.003384209  35.96625
923                     941     3  0.003384209  35.96963
924                     942     6  0.006768419  35.97640
925                     943     4  0.004512279  35.98091
926                     944     7  0.007896488  35.98881
927                     945     5  0.005640349  35.99445
928                     946     5  0.005640349  36.00009
929                     947     4  0.004512279  36.00460
930                     948     9  0.010152628  36.01476
931                     949     7  0.007896488  36.02265
932                     950     6  0.006768419  36.02942
933                     951     2  0.002256140  36.03168
934                     952     6  0.006768419  36.03844
935                     953    38  0.042866651  36.08131
936                     954    50  0.056403488  36.13771
937                     955     3  0.003384209  36.14110
938                     956     6  0.006768419  36.14787
939                     957     7  0.007896488  36.15576
940                     958     5  0.005640349  36.16140
941                     960     9  0.010152628  36.17156
942                     961     6  0.006768419  36.17833
943                     962     4  0.004512279  36.18284
944                     963     3  0.003384209  36.18622
945                     964     3  0.003384209  36.18961
946                     965     4  0.004512279  36.19412
947                     966    15  0.016921046  36.21104
948                     967    36  0.040610511  36.25165
949                     968     8  0.009024558  36.26067
950                     969     3  0.003384209  36.26406
951                     970     9  0.010152628  36.27421
952                     971     3  0.003384209  36.27760
953                     972    11  0.012408767  36.29000
954                     973     7  0.007896488  36.29790
955                     974     3  0.003384209  36.30128
956                     975     3  0.003384209  36.30467
957                     977     3  0.003384209  36.30805
958                     978     3  0.003384209  36.31144
959                     979     4  0.004512279  36.31595
960                     980     3  0.003384209  36.31933
961                     981     9  0.010152628  36.32949
962                     982     6  0.006768419  36.33626
963                     983     8  0.009024558  36.34528
964                     985     1  0.001128070  36.34641
965                     986    22  0.024817535  36.37123
966                     987     1  0.001128070  36.37235
967                     988     8  0.009024558  36.38138
968                     989     9  0.010152628  36.39153
969                     990     5  0.005640349  36.39717
970                     991    16  0.018049116  36.41522
971                     992    14  0.015792977  36.43101
972                     993    24  0.027073674  36.45809
973                     994     4  0.004512279  36.46260
974                     995     8  0.009024558  36.47162
975                     996     6  0.006768419  36.47839
976                     997     6  0.006768419  36.48516
977                     998    13  0.014664907  36.49983
978                    1000     3  0.003384209  36.50321
979                    1001     8  0.009024558  36.51223
980                    1002    11  0.012408767  36.52464
981                    1003     4  0.004512279  36.52915
982                    1004     3  0.003384209  36.53254
983                    1005     5  0.005640349  36.53818
984                    1006     1  0.001128070  36.53931
985                    1007     3  0.003384209  36.54269
986                    1008     1  0.001128070  36.54382
987                    1009     6  0.006768419  36.55059
988                    1010     3  0.003384209  36.55397
989                    1011     4  0.004512279  36.55848
990                    1012     5  0.005640349  36.56413
991                    1013     7  0.007896488  36.57202
992                    1014     6  0.006768419  36.57879
993                    1015     6  0.006768419  36.58556
994                    1016     9  0.010152628  36.59571
995                    1017     8  0.009024558  36.60474
996                    1018     4  0.004512279  36.60925
997                    1019     1  0.001128070  36.61038
998                    1020     8  0.009024558  36.61940
999                    1021     1  0.001128070  36.62053
1000                   1022     6  0.006768419  36.62730
1001                   1023     7  0.007896488  36.63519
1002                   1024     7  0.007896488  36.64309
1003                   1025     5  0.005640349  36.64873
1004                   1026     8  0.009024558  36.65775
1005                   1027    14  0.015792977  36.67355
1006                   1028    12  0.013536837  36.68708
1007                   1029    12  0.013536837  36.70062
1008                   1030     8  0.009024558  36.70965
1009                   1031     3  0.003384209  36.71303
1010                   1032     8  0.009024558  36.72205
1011                   1033     7  0.007896488  36.72995
1012                   1034     6  0.006768419  36.73672
1013                   1035    15  0.016921046  36.75364
1014                   1036     3  0.003384209  36.75703
1015                   1037     7  0.007896488  36.76492
1016                   1038     5  0.005640349  36.77056
1017                   1040     2  0.002256140  36.77282
1018                   1041    17  0.019177186  36.79200
1019                   1042     7  0.007896488  36.79989
1020                   1043     7  0.007896488  36.80779
1021                   1044     1  0.001128070  36.80892
1022                   1045     6  0.006768419  36.81568
1023                   1046     5  0.005640349  36.82133
1024                   1047    11  0.012408767  36.83373
1025                   1048     2  0.002256140  36.83599
1026                   1049    14  0.015792977  36.85178
1027                   1050     9  0.010152628  36.86194
1028                   1051     9  0.010152628  36.87209
1029                   1052    26  0.029329814  36.90142
1030                   1053    11  0.012408767  36.91383
1031                   1054     2  0.002256140  36.91608
1032                   1055     4  0.004512279  36.92060
1033                   1056     9  0.010152628  36.93075
1034                   1057     6  0.006768419  36.93752
1035                   1058    10  0.011280698  36.94880
1036                   1059     3  0.003384209  36.95218
1037                   1060     3  0.003384209  36.95557
1038                   1061     5  0.005640349  36.96121
1039                   1062    10  0.011280698  36.97249
1040                   1063     3  0.003384209  36.97587
1041                   1064     2  0.002256140  36.97813
1042                   1065     4  0.004512279  36.98264
1043                   1066     4  0.004512279  36.98715
1044                   1067     4  0.004512279  36.99166
1045                   1068     6  0.006768419  36.99843
1046                   1069     2  0.002256140  37.00069
1047                   1070     2  0.002256140  37.00294
1048                   1071     7  0.007896488  37.01084
1049                   1072     9  0.010152628  37.02099
1050                   1073     5  0.005640349  37.02663
1051                   1074     5  0.005640349  37.03227
1052                   1075     9  0.010152628  37.04243
1053                   1077     5  0.005640349  37.04807
1054                   1078     4  0.004512279  37.05258
1055                   1079    18  0.020305256  37.07288
1056                   1080    18  0.020305256  37.09319
1057                   1081    12  0.013536837  37.10673
1058                   1082     4  0.004512279  37.11124
1059                   1083     3  0.003384209  37.11462
1060                   1084     6  0.006768419  37.12139
1061                   1085     3  0.003384209  37.12478
1062                   1086     4  0.004512279  37.12929
1063                   1087     6  0.006768419  37.13606
1064                   1088    11  0.012408767  37.14847
1065                   1089     9  0.010152628  37.15862
1066                   1090     4  0.004512279  37.16313
1067                   1091     2  0.002256140  37.16539
1068                   1092    16  0.018049116  37.18344
1069                   1093     6  0.006768419  37.19020
1070                   1094     8  0.009024558  37.19923
1071                   1095    17  0.019177186  37.21841
1072                   1096    18  0.020305256  37.23871
1073                   1097     3  0.003384209  37.24210
1074                   1098     3  0.003384209  37.24548
1075                   1099     2  0.002256140  37.24774
1076                   1100     3  0.003384209  37.25112
1077                   1101     8  0.009024558  37.26014
1078                   1102    13  0.014664907  37.27481
1079                   1103     3  0.003384209  37.27819
1080                   1104     2  0.002256140  37.28045
1081                   1105     2  0.002256140  37.28271
1082                   1106    11  0.012408767  37.29511
1083                   1107     3  0.003384209  37.29850
1084                   1108     3  0.003384209  37.30188
1085                   1109     9  0.010152628  37.31204
1086                   1110     5  0.005640349  37.31768
1087                   1111     2  0.002256140  37.31993
1088                   1112     5  0.005640349  37.32557
1089                   1113     3  0.003384209  37.32896
1090                   1114     5  0.005640349  37.33460
1091                   1115    12  0.013536837  37.34813
1092                   1116     6  0.006768419  37.35490
1093                   1117     2  0.002256140  37.35716
1094                   1118     5  0.005640349  37.36280
1095                   1119     4  0.004512279  37.36731
1096                   1120    12  0.013536837  37.38085
1097                   1121     5  0.005640349  37.38649
1098                   1122     3  0.003384209  37.38987
1099                   1123     6  0.006768419  37.39664
1100                   1124     6  0.006768419  37.40341
1101                   1125     2  0.002256140  37.40567
1102                   1126     2  0.002256140  37.40792
1103                   1127     7  0.007896488  37.41582
1104                   1128     3  0.003384209  37.41920
1105                   1129     7  0.007896488  37.42710
1106                   1130     6  0.006768419  37.43387
1107                   1131     8  0.009024558  37.44289
1108                   1132     3  0.003384209  37.44628
1109                   1133     5  0.005640349  37.45192
1110                   1134     7  0.007896488  37.45981
1111                   1135     7  0.007896488  37.46771
1112                   1136     3  0.003384209  37.47109
1113                   1137     2  0.002256140  37.47335
1114                   1138     8  0.009024558  37.48237
1115                   1139     1  0.001128070  37.48350
1116                   1140     3  0.003384209  37.48689
1117                   1141     4  0.004512279  37.49140
1118                   1142     4  0.004512279  37.49591
1119                   1143     9  0.010152628  37.50606
1120                   1144     8  0.009024558  37.51509
1121                   1145     5  0.005640349  37.52073
1122                   1146     4  0.004512279  37.52524
1123                   1147     3  0.003384209  37.52862
1124                   1148     3  0.003384209  37.53201
1125                   1149     1  0.001128070  37.53314
1126                   1150     4  0.004512279  37.53765
1127                   1151     3  0.003384209  37.54103
1128                   1152     4  0.004512279  37.54555
1129                   1153     3  0.003384209  37.54893
1130                   1154     1  0.001128070  37.55006
1131                   1155     5  0.005640349  37.55570
1132                   1156     1  0.001128070  37.55683
1133                   1157     1  0.001128070  37.55795
1134                   1158    13  0.014664907  37.57262
1135                   1159     6  0.006768419  37.57939
1136                   1160     1  0.001128070  37.58052
1137                   1161     3  0.003384209  37.58390
1138                   1163     1  0.001128070  37.58503
1139                   1164    10  0.011280698  37.59631
1140                   1165     4  0.004512279  37.60082
1141                   1166    12  0.013536837  37.61436
1142                   1167     9  0.010152628  37.62451
1143                   1168     3  0.003384209  37.62789
1144                   1169     1  0.001128070  37.62902
1145                   1170     2  0.002256140  37.63128
1146                   1171     5  0.005640349  37.63692
1147                   1172     6  0.006768419  37.64369
1148                   1173     1  0.001128070  37.64482
1149                   1174     2  0.002256140  37.64707
1150                   1175     7  0.007896488  37.65497
1151                   1177     3  0.003384209  37.65835
1152                   1178     2  0.002256140  37.66061
1153                   1179     2  0.002256140  37.66287
1154                   1180     4  0.004512279  37.66738
1155                   1181     7  0.007896488  37.67527
1156                   1182     5  0.005640349  37.68091
1157                   1183     7  0.007896488  37.68881
1158                   1184     6  0.006768419  37.69558
1159                   1185    11  0.012408767  37.70799
1160                   1186     3  0.003384209  37.71137
1161                   1187     2  0.002256140  37.71363
1162                   1189     4  0.004512279  37.71814
1163                   1190    10  0.011280698  37.72942
1164                   1191     2  0.002256140  37.73168
1165                   1192     6  0.006768419  37.73845
1166                   1193     3  0.003384209  37.74183
1167                   1194     3  0.003384209  37.74521
1168                   1195     6  0.006768419  37.75198
1169                   1196     4  0.004512279  37.75649
1170                   1197     9  0.010152628  37.76665
1171                   1198     3  0.003384209  37.77003
1172                   1199     3  0.003384209  37.77342
1173                   1200     4  0.004512279  37.77793
1174                   1201     6  0.006768419  37.78470
1175                   1202     1  0.001128070  37.78582
1176                   1203     4  0.004512279  37.79034
1177                   1204     4  0.004512279  37.79485
1178                   1206     6  0.006768419  37.80162
1179                   1207     1  0.001128070  37.80275
1180                   1208     8  0.009024558  37.81177
1181                   1209     3  0.003384209  37.81515
1182                   1210     2  0.002256140  37.81741
1183                   1211     6  0.006768419  37.82418
1184                   1212     8  0.009024558  37.83320
1185                   1213     5  0.005640349  37.83884
1186                   1214     4  0.004512279  37.84336
1187                   1215     5  0.005640349  37.84900
1188                   1216    18  0.020305256  37.86930
1189                   1217     6  0.006768419  37.87607
1190                   1218     9  0.010152628  37.88622
1191                   1219     1  0.001128070  37.88735
1192                   1220     6  0.006768419  37.89412
1193                   1221    11  0.012408767  37.90653
1194                   1222     7  0.007896488  37.91442
1195                   1223     2  0.002256140  37.91668
1196                   1224     4  0.004512279  37.92119
1197                   1225     1  0.001128070  37.92232
1198                   1226     7  0.007896488  37.93022
1199                   1228     4  0.004512279  37.93473
1200                   1229     8  0.009024558  37.94375
1201                   1230    11  0.012408767  37.95616
1202                   1231    11  0.012408767  37.96857
1203                   1232     1  0.001128070  37.96970
1204                   1233    12  0.013536837  37.98324
1205                   1234     3  0.003384209  37.98662
1206                   1235     2  0.002256140  37.98888
1207                   1236     7  0.007896488  37.99677
1208                   1237     3  0.003384209  38.00016
1209                   1238     7  0.007896488  38.00805
1210                   1239     5  0.005640349  38.01369
1211                   1240     7  0.007896488  38.02159
1212                   1241     1  0.001128070  38.02272
1213                   1242     5  0.005640349  38.02836
1214                   1243     6  0.006768419  38.03513
1215                   1244     1  0.001128070  38.03626
1216                   1245     3  0.003384209  38.03964
1217                   1246     4  0.004512279  38.04415
1218                   1247     9  0.010152628  38.05431
1219                   1248    18  0.020305256  38.07461
1220                   1249     3  0.003384209  38.07799
1221                   1250     2  0.002256140  38.08025
1222                   1251     3  0.003384209  38.08364
1223                   1252     6  0.006768419  38.09040
1224                   1253     1  0.001128070  38.09153
1225                   1254     2  0.002256140  38.09379
1226                   1255     7  0.007896488  38.10168
1227                   1256     3  0.003384209  38.10507
1228                   1257     8  0.009024558  38.11409
1229                   1258     5  0.005640349  38.11973
1230                   1259     6  0.006768419  38.12650
1231                   1260    11  0.012408767  38.13891
1232                   1261     3  0.003384209  38.14229
1233                   1262     2  0.002256140  38.14455
1234                   1263     6  0.006768419  38.15132
1235                   1264     3  0.003384209  38.15470
1236                   1265     8  0.009024558  38.16373
1237                   1266     7  0.007896488  38.17162
1238                   1267    12  0.013536837  38.18516
1239                   1268     6  0.006768419  38.19193
1240                   1269     3  0.003384209  38.19531
1241                   1270     3  0.003384209  38.19870
1242                   1271     2  0.002256140  38.20095
1243                   1272     6  0.006768419  38.20772
1244                   1273     5  0.005640349  38.21336
1245                   1274     7  0.007896488  38.22126
1246                   1275     9  0.010152628  38.23141
1247                   1276     5  0.005640349  38.23705
1248                   1277     9  0.010152628  38.24721
1249                   1278    15  0.016921046  38.26413
1250                   1279     2  0.002256140  38.26638
1251                   1281     1  0.001128070  38.26751
1252                   1282     9  0.010152628  38.27766
1253                   1283     3  0.003384209  38.28105
1254                   1284    10  0.011280698  38.29233
1255                   1285     7  0.007896488  38.30022
1256                   1286     6  0.006768419  38.30699
1257                   1287    13  0.014664907  38.32166
1258                   1288     4  0.004512279  38.32617
1259                   1289     2  0.002256140  38.32843
1260                   1290     4  0.004512279  38.33294
1261                   1291     3  0.003384209  38.33632
1262                   1292     2  0.002256140  38.33858
1263                   1293     3  0.003384209  38.34196
1264                   1294     4  0.004512279  38.34648
1265                   1295     3  0.003384209  38.34986
1266                   1296     5  0.005640349  38.35550
1267                   1297     7  0.007896488  38.36340
1268                   1298     3  0.003384209  38.36678
1269                   1299     1  0.001128070  38.36791
1270                   1300     8  0.009024558  38.37693
1271                   1302     4  0.004512279  38.38145
1272                   1303     6  0.006768419  38.38821
1273                   1304     4  0.004512279  38.39273
1274                   1305     3  0.003384209  38.39611
1275                   1306     1  0.001128070  38.39724
1276                   1307    25  0.028201744  38.42544
1277                   1308     4  0.004512279  38.42995
1278                   1309     3  0.003384209  38.43334
1279                   1310     5  0.005640349  38.43898
1280                   1311     5  0.005640349  38.44462
1281                   1312     1  0.001128070  38.44575
1282                   1313     1  0.001128070  38.44687
1283                   1314     9  0.010152628  38.45703
1284                   1315     2  0.002256140  38.45928
1285                   1316     4  0.004512279  38.46379
1286                   1317     3  0.003384209  38.46718
1287                   1318     1  0.001128070  38.46831
1288                   1319     2  0.002256140  38.47056
1289                   1320     2  0.002256140  38.47282
1290                   1321     5  0.005640349  38.47846
1291                   1322     2  0.002256140  38.48072
1292                   1323     5  0.005640349  38.48636
1293                   1324     4  0.004512279  38.49087
1294                   1325    18  0.020305256  38.51117
1295                   1326     2  0.002256140  38.51343
1296                   1327     3  0.003384209  38.51681
1297                   1328     3  0.003384209  38.52020
1298                   1329     4  0.004512279  38.52471
1299                   1330     5  0.005640349  38.53035
1300                   1331    12  0.013536837  38.54389
1301                   1332     9  0.010152628  38.55404
1302                   1333     5  0.005640349  38.55968
1303                   1334     2  0.002256140  38.56194
1304                   1335    11  0.012408767  38.57435
1305                   1336     8  0.009024558  38.58337
1306                   1337     7  0.007896488  38.59127
1307                   1338     2  0.002256140  38.59352
1308                   1339     4  0.004512279  38.59803
1309                   1340     1  0.001128070  38.59916
1310                   1341     3  0.003384209  38.60255
1311                   1342     3  0.003384209  38.60593
1312                   1343     2  0.002256140  38.60819
1313                   1344     7  0.007896488  38.61608
1314                   1345     3  0.003384209  38.61947
1315                   1346     3  0.003384209  38.62285
1316                   1347     3  0.003384209  38.62624
1317                   1348     5  0.005640349  38.63188
1318                   1349     1  0.001128070  38.63301
1319                   1350    12  0.013536837  38.64654
1320                   1351     7  0.007896488  38.65444
1321                   1352    16  0.018049116  38.67249
1322                   1353    15  0.016921046  38.68941
1323                   1354     2  0.002256140  38.69166
1324                   1355     2  0.002256140  38.69392
1325                   1356     3  0.003384209  38.69731
1326                   1357     7  0.007896488  38.70520
1327                   1358     4  0.004512279  38.70971
1328                   1359     4  0.004512279  38.71423
1329                   1360     7  0.007896488  38.72212
1330                   1361     6  0.006768419  38.72889
1331                   1362     4  0.004512279  38.73340
1332                   1363    13  0.014664907  38.74807
1333                   1364     7  0.007896488  38.75596
1334                   1365     1  0.001128070  38.75709
1335                   1366     8  0.009024558  38.76612
1336                   1367     8  0.009024558  38.77514
1337                   1368     5  0.005640349  38.78078
1338                   1369     3  0.003384209  38.78417
1339                   1370     4  0.004512279  38.78868
1340                   1371     2  0.002256140  38.79093
1341                   1372     3  0.003384209  38.79432
1342                   1373     6  0.006768419  38.80109
1343                   1374     3  0.003384209  38.80447
1344                   1375    11  0.012408767  38.81688
1345                   1376    10  0.011280698  38.82816
1346                   1377     6  0.006768419  38.83493
1347                   1378     5  0.005640349  38.84057
1348                   1379     6  0.006768419  38.84734
1349                   1380     7  0.007896488  38.85523
1350                   1381    19  0.021433325  38.87667
1351                   1382     8  0.009024558  38.88569
1352                   1383     2  0.002256140  38.88795
1353                   1384     3  0.003384209  38.89133
1354                   1385     6  0.006768419  38.89810
1355                   1386     7  0.007896488  38.90600
1356                   1387    30  0.033842093  38.93984
1357                   1388    11  0.012408767  38.95225
1358                   1389     9  0.010152628  38.96240
1359                   1390     7  0.007896488  38.97030
1360                   1391     7  0.007896488  38.97819
1361                   1392     7  0.007896488  38.98609
1362                   1393     4  0.004512279  38.99060
1363                   1394     6  0.006768419  38.99737
1364                   1395     6  0.006768419  39.00414
1365                   1396     2  0.002256140  39.00640
1366                   1397     6  0.006768419  39.01316
1367                   1398     6  0.006768419  39.01993
1368                   1399     1  0.001128070  39.02106
1369                   1400    12  0.013536837  39.03460
1370                   1401     1  0.001128070  39.03573
1371                   1403     3  0.003384209  39.03911
1372                   1404     8  0.009024558  39.04813
1373                   1405     5  0.005640349  39.05378
1374                   1406     2  0.002256140  39.05603
1375                   1407     3  0.003384209  39.05942
1376                   1408    15  0.016921046  39.07634
1377                   1409     7  0.007896488  39.08423
1378                   1410     8  0.009024558  39.09326
1379                   1411     4  0.004512279  39.09777
1380                   1412     4  0.004512279  39.10228
1381                   1413     5  0.005640349  39.10792
1382                   1414     7  0.007896488  39.11582
1383                   1415     6  0.006768419  39.12259
1384                   1416    10  0.011280698  39.13387
1385                   1417    13  0.014664907  39.14853
1386                   1418     5  0.005640349  39.15417
1387                   1419     8  0.009024558  39.16320
1388                   1420    15  0.016921046  39.18012
1389                   1421     2  0.002256140  39.18238
1390                   1422     4  0.004512279  39.18689
1391                   1423     6  0.006768419  39.19366
1392                   1424     7  0.007896488  39.20155
1393                   1425     5  0.005640349  39.20719
1394                   1426     6  0.006768419  39.21396
1395                   1427     2  0.002256140  39.21622
1396                   1428     7  0.007896488  39.22411
1397                   1429     8  0.009024558  39.23314
1398                   1430     3  0.003384209  39.23652
1399                   1431     9  0.010152628  39.24668
1400                   1432     3  0.003384209  39.25006
1401                   1433    13  0.014664907  39.26472
1402                   1434     2  0.002256140  39.26698
1403                   1435     5  0.005640349  39.27262
1404                   1436     4  0.004512279  39.27713
1405                   1437     3  0.003384209  39.28052
1406                   1438     4  0.004512279  39.28503
1407                   1439     3  0.003384209  39.28841
1408                   1440     9  0.010152628  39.29857
1409                   1441     5  0.005640349  39.30421
1410                   1442     1  0.001128070  39.30533
1411                   1443     4  0.004512279  39.30985
1412                   1444     6  0.006768419  39.31662
1413                   1445    20  0.022561395  39.33918
1414                   1446     4  0.004512279  39.34369
1415                   1447     5  0.005640349  39.34933
1416                   1448     7  0.007896488  39.35723
1417                   1449     3  0.003384209  39.36061
1418                   1450    12  0.013536837  39.37415
1419                   1451     7  0.007896488  39.38204
1420                   1452     3  0.003384209  39.38543
1421                   1453     6  0.006768419  39.39220
1422                   1454     2  0.002256140  39.39445
1423                   1455     1  0.001128070  39.39558
1424                   1456     3  0.003384209  39.39896
1425                   1457     1  0.001128070  39.40009
1426                   1459    11  0.012408767  39.41250
1427                   1460    10  0.011280698  39.42378
1428                   1461     7  0.007896488  39.43168
1429                   1462     2  0.002256140  39.43393
1430                   1463     2  0.002256140  39.43619
1431                   1464     3  0.003384209  39.43957
1432                   1465     4  0.004512279  39.44409
1433                   1466     5  0.005640349  39.44973
1434                   1467     4  0.004512279  39.45424
1435                   1468     2  0.002256140  39.45650
1436                   1469     5  0.005640349  39.46214
1437                   1470    17  0.019177186  39.48131
1438                   1471    10  0.011280698  39.49259
1439                   1472     6  0.006768419  39.49936
1440                   1473    10  0.011280698  39.51064
1441                   1474     8  0.009024558  39.51967
1442                   1475     2  0.002256140  39.52192
1443                   1476     7  0.007896488  39.52982
1444                   1477     2  0.002256140  39.53208
1445                   1478    10  0.011280698  39.54336
1446                   1479     3  0.003384209  39.54674
1447                   1480     3  0.003384209  39.55013
1448                   1481     8  0.009024558  39.55915
1449                   1482    22  0.024817535  39.58397
1450                   1483     5  0.005640349  39.58961
1451                   1484     4  0.004512279  39.59412
1452                   1485     5  0.005640349  39.59976
1453                   1486    17  0.019177186  39.61894
1454                   1487    14  0.015792977  39.63473
1455                   1488    15  0.016921046  39.65165
1456                   1489     6  0.006768419  39.65842
1457                   1490     9  0.010152628  39.66857
1458                   1491     3  0.003384209  39.67196
1459                   1492     5  0.005640349  39.67760
1460                   1493    19  0.021433325  39.69903
1461                   1494     3  0.003384209  39.70242
1462                   1495     3  0.003384209  39.70580
1463                   1496     2  0.002256140  39.70806
1464                   1497    27  0.030457884  39.73851
1465                   1498     9  0.010152628  39.74867
1466                   1499     3  0.003384209  39.75205
1467                   1500     5  0.005640349  39.75769
1468                   1501     5  0.005640349  39.76333
1469                   1502    24  0.027073674  39.79040
1470                   1503     1  0.001128070  39.79153
1471                   1504    14  0.015792977  39.80733
1472                   1505     1  0.001128070  39.80845
1473                   1506     1  0.001128070  39.80958
1474                   1507     1  0.001128070  39.81071
1475                   1508     6  0.006768419  39.81748
1476                   1509     5  0.005640349  39.82312
1477                   1510     2  0.002256140  39.82537
1478                   1511     1  0.001128070  39.82650
1479                   1512    12  0.013536837  39.84004
1480                   1513    14  0.015792977  39.85583
1481                   1514     8  0.009024558  39.86486
1482                   1515     6  0.006768419  39.87163
1483                   1516     5  0.005640349  39.87727
1484                   1517     4  0.004512279  39.88178
1485                   1518     6  0.006768419  39.88855
1486                   1519     6  0.006768419  39.89532
1487                   1520     1  0.001128070  39.89644
1488                   1521     3  0.003384209  39.89983
1489                   1522     4  0.004512279  39.90434
1490                   1523     3  0.003384209  39.90772
1491                   1524     8  0.009024558  39.91675
1492                   1525     2  0.002256140  39.91900
1493                   1526     8  0.009024558  39.92803
1494                   1527     1  0.001128070  39.92916
1495                   1528     4  0.004512279  39.93367
1496                   1529    10  0.011280698  39.94495
1497                   1530     3  0.003384209  39.94833
1498                   1531     4  0.004512279  39.95285
1499                   1532     5  0.005640349  39.95849
1500                   1533    11  0.012408767  39.97090
1501                   1534     7  0.007896488  39.97879
1502                   1535    11  0.012408767  39.99120
1503                   1536     5  0.005640349  39.99684
1504                   1537     2  0.002256140  39.99910
1505                   1538     7  0.007896488  40.00699
1506                   1539     7  0.007896488  40.01489
1507                   1540     6  0.006768419  40.02166
1508                   1541     7  0.007896488  40.02956
1509                   1542     5  0.005640349  40.03520
1510                   1543     5  0.005640349  40.04084
1511                   1544     4  0.004512279  40.04535
1512                   1545     3  0.003384209  40.04873
1513                   1546     2  0.002256140  40.05099
1514                   1547     4  0.004512279  40.05550
1515                   1548     1  0.001128070  40.05663
1516                   1549    10  0.011280698  40.06791
1517                   1550     3  0.003384209  40.07129
1518                   1551     3  0.003384209  40.07468
1519                   1552     7  0.007896488  40.08257
1520                   1553     4  0.004512279  40.08709
1521                   1554    12  0.013536837  40.10062
1522                   1555     8  0.009024558  40.10965
1523                   1556     7  0.007896488  40.11754
1524                   1557     4  0.004512279  40.12206
1525                   1558     6  0.006768419  40.12883
1526                   1559    12  0.013536837  40.14236
1527                   1560     2  0.002256140  40.14462
1528                   1561     7  0.007896488  40.15252
1529                   1562     5  0.005640349  40.15816
1530                   1563     4  0.004512279  40.16267
1531                   1564    10  0.011280698  40.17395
1532                   1565     1  0.001128070  40.17508
1533                   1566     2  0.002256140  40.17733
1534                   1567     1  0.001128070  40.17846
1535                   1568     5  0.005640349  40.18410
1536                   1569     6  0.006768419  40.19087
1537                   1570    17  0.019177186  40.21005
1538                   1571     6  0.006768419  40.21682
1539                   1572     2  0.002256140  40.21907
1540                   1573     4  0.004512279  40.22358
1541                   1574     9  0.010152628  40.23374
1542                   1575     5  0.005640349  40.23938
1543                   1576     3  0.003384209  40.24276
1544                   1577    10  0.011280698  40.25404
1545                   1578     1  0.001128070  40.25517
1546                   1579     4  0.004512279  40.25968
1547                   1580    16  0.018049116  40.27773
1548                   1581     2  0.002256140  40.27999
1549                   1582     4  0.004512279  40.28450
1550                   1583     5  0.005640349  40.29014
1551                   1585     4  0.004512279  40.29465
1552                   1586     6  0.006768419  40.30142
1553                   1587     8  0.009024558  40.31044
1554                   1588     6  0.006768419  40.31721
1555                   1589     4  0.004512279  40.32173
1556                   1590    66  0.074452604  40.39618
1557                   1591    12  0.013536837  40.40971
1558                   1592    10  0.011280698  40.42100
1559                   1593     4  0.004512279  40.42551
1560                   1594     3  0.003384209  40.42889
1561                   1595     1  0.001128070  40.43002
1562                   1596     6  0.006768419  40.43679
1563                   1597     8  0.009024558  40.44581
1564                   1598     6  0.006768419  40.45258
1565                   1599     2  0.002256140  40.45484
1566                   1600     7  0.007896488  40.46273
1567                   1601    16  0.018049116  40.48078
1568                   1602     3  0.003384209  40.48417
1569                   1603     7  0.007896488  40.49206
1570                   1604     3  0.003384209  40.49545
1571                   1605     6  0.006768419  40.50222
1572                   1606    12  0.013536837  40.51575
1573                   1607     3  0.003384209  40.51914
1574                   1608     3  0.003384209  40.52252
1575                   1609    12  0.013536837  40.53606
1576                   1610    15  0.016921046  40.55298
1577                   1611     4  0.004512279  40.55749
1578                   1612     9  0.010152628  40.56764
1579                   1613     5  0.005640349  40.57329
1580                   1614     3  0.003384209  40.57667
1581                   1615     6  0.006768419  40.58344
1582                   1616     1  0.001128070  40.58457
1583                   1617     6  0.006768419  40.59133
1584                   1618     6  0.006768419  40.59810
1585                   1619     1  0.001128070  40.59923
1586                   1620    11  0.012408767  40.61164
1587                   1621    10  0.011280698  40.62292
1588                   1622    10  0.011280698  40.63420
1589                   1623    13  0.014664907  40.64887
1590                   1624     1  0.001128070  40.64999
1591                   1625     4  0.004512279  40.65451
1592                   1626     7  0.007896488  40.66240
1593                   1627     3  0.003384209  40.66579
1594                   1628     6  0.006768419  40.67256
1595                   1630    12  0.013536837  40.68609
1596                   1631     2  0.002256140  40.68835
1597                   1632     2  0.002256140  40.69060
1598                   1633     2  0.002256140  40.69286
1599                   1634    32  0.036098232  40.72896
1600                   1635    16  0.018049116  40.74701
1601                   1636     7  0.007896488  40.75490
1602                   1637     7  0.007896488  40.76280
1603                   1638     4  0.004512279  40.76731
1604                   1639    23  0.025945604  40.79326
1605                   1640    11  0.012408767  40.80567
1606                   1641    16  0.018049116  40.82372
1607                   1642     8  0.009024558  40.83274
1608                   1643     4  0.004512279  40.83725
1609                   1644     5  0.005640349  40.84289
1610                   1645     4  0.004512279  40.84741
1611                   1646     6  0.006768419  40.85417
1612                   1647     8  0.009024558  40.86320
1613                   1648     5  0.005640349  40.86884
1614                   1649     8  0.009024558  40.87786
1615                   1650     6  0.006768419  40.88463
1616                   1651     5  0.005640349  40.89027
1617                   1652     2  0.002256140  40.89253
1618                   1653     4  0.004512279  40.89704
1619                   1654    31  0.034970163  40.93201
1620                   1655     7  0.007896488  40.93991
1621                   1656     4  0.004512279  40.94442
1622                   1657    12  0.013536837  40.95796
1623                   1658     8  0.009024558  40.96698
1624                   1659     2  0.002256140  40.96924
1625                   1660     7  0.007896488  40.97713
1626                   1661     3  0.003384209  40.98052
1627                   1662     3  0.003384209  40.98390
1628                   1663    10  0.011280698  40.99518
1629                   1664     2  0.002256140  40.99744
1630                   1665     5  0.005640349  41.00308
1631                   1666     5  0.005640349  41.00872
1632                   1667     1  0.001128070  41.00985
1633                   1668     9  0.010152628  41.02000
1634                   1669     5  0.005640349  41.02564
1635                   1670     5  0.005640349  41.03128
1636                   1671    13  0.014664907  41.04595
1637                   1672     4  0.004512279  41.05046
1638                   1673     7  0.007896488  41.05836
1639                   1674     7  0.007896488  41.06625
1640                   1675     8  0.009024558  41.07528
1641                   1676     6  0.006768419  41.08204
1642                   1677     6  0.006768419  41.08881
1643                   1678    10  0.011280698  41.10009
1644                   1679     3  0.003384209  41.10348
1645                   1680     2  0.002256140  41.10573
1646                   1681     4  0.004512279  41.11025
1647                   1682     4  0.004512279  41.11476
1648                   1683     3  0.003384209  41.11814
1649                   1684    10  0.011280698  41.12942
1650                   1685     9  0.010152628  41.13958
1651                   1686     6  0.006768419  41.14634
1652                   1687    12  0.013536837  41.15988
1653                   1688     9  0.010152628  41.17003
1654                   1689     3  0.003384209  41.17342
1655                   1690     6  0.006768419  41.18019
1656                   1691    10  0.011280698  41.19147
1657                   1692     1  0.001128070  41.19260
1658                   1693     8  0.009024558  41.20162
1659                   1694    18  0.020305256  41.22193
1660                   1696     2  0.002256140  41.22418
1661                   1697     2  0.002256140  41.22644
1662                   1698     5  0.005640349  41.23208
1663                   1699    11  0.012408767  41.24449
1664                   1700     8  0.009024558  41.25351
1665                   1701     3  0.003384209  41.25690
1666                   1702     8  0.009024558  41.26592
1667                   1703     2  0.002256140  41.26818
1668                   1704     2  0.002256140  41.27043
1669                   1705     4  0.004512279  41.27494
1670                   1706     4  0.004512279  41.27946
1671                   1707     3  0.003384209  41.28284
1672                   1708     8  0.009024558  41.29187
1673                   1709     4  0.004512279  41.29638
1674                   1710     2  0.002256140  41.29863
1675                   1711     2  0.002256140  41.30089
1676                   1712     2  0.002256140  41.30315
1677                   1713     2  0.002256140  41.30540
1678                   1714     1  0.001128070  41.30653
1679                   1715     8  0.009024558  41.31555
1680                   1716     6  0.006768419  41.32232
1681                   1717     4  0.004512279  41.32684
1682                   1718     4  0.004512279  41.33135
1683                   1720     8  0.009024558  41.34037
1684                   1721    13  0.014664907  41.35504
1685                   1722     2  0.002256140  41.35729
1686                   1723     4  0.004512279  41.36181
1687                   1724     3  0.003384209  41.36519
1688                   1725     5  0.005640349  41.37083
1689                   1726     5  0.005640349  41.37647
1690                   1727    13  0.014664907  41.39114
1691                   1728     1  0.001128070  41.39226
1692                   1729     1  0.001128070  41.39339
1693                   1730     4  0.004512279  41.39790
1694                   1731     6  0.006768419  41.40467
1695                   1732     7  0.007896488  41.41257
1696                   1733     8  0.009024558  41.42159
1697                   1734     1  0.001128070  41.42272
1698                   1735     4  0.004512279  41.42723
1699                   1736     6  0.006768419  41.43400
1700                   1737     1  0.001128070  41.43513
1701                   1738     5  0.005640349  41.44077
1702                   1739     1  0.001128070  41.44190
1703                   1740     2  0.002256140  41.44415
1704                   1741     2  0.002256140  41.44641
1705                   1742    10  0.011280698  41.45769
1706                   1743     6  0.006768419  41.46446
1707                   1744     4  0.004512279  41.46897
1708                   1745     7  0.007896488  41.47687
1709                   1746     1  0.001128070  41.47800
1710                   1748     2  0.002256140  41.48025
1711                   1749     3  0.003384209  41.48364
1712                   1750     3  0.003384209  41.48702
1713                   1751     4  0.004512279  41.49153
1714                   1752     2  0.002256140  41.49379
1715                   1753     3  0.003384209  41.49717
1716                   1754     6  0.006768419  41.50394
1717                   1755     2  0.002256140  41.50620
1718                   1756     3  0.003384209  41.50958
1719                   1757    18  0.020305256  41.52989
1720                   1758     2  0.002256140  41.53214
1721                   1759     6  0.006768419  41.53891
1722                   1760     7  0.007896488  41.54681
1723                   1761     3  0.003384209  41.55019
1724                   1762    11  0.012408767  41.56260
1725                   1763     7  0.007896488  41.57050
1726                   1764     6  0.006768419  41.57727
1727                   1765     2  0.002256140  41.57952
1728                   1766     2  0.002256140  41.58178
1729                   1767     5  0.005640349  41.58742
1730                   1768     8  0.009024558  41.59644
1731                   1769    12  0.013536837  41.60998
1732                   1770     6  0.006768419  41.61675
1733                   1772     8  0.009024558  41.62577
1734                   1773     6  0.006768419  41.63254
1735                   1774     5  0.005640349  41.63818
1736                   1775    17  0.019177186  41.65736
1737                   1776     6  0.006768419  41.66413
1738                   1777     7  0.007896488  41.67202
1739                   1778     7  0.007896488  41.67992
1740                   1779     4  0.004512279  41.68443
1741                   1780     6  0.006768419  41.69120
1742                   1781     2  0.002256140  41.69346
1743                   1782     5  0.005640349  41.69910
1744                   1783     1  0.001128070  41.70023
1745                   1784     1  0.001128070  41.70135
1746                   1785     1  0.001128070  41.70248
1747                   1786     4  0.004512279  41.70700
1748                   1787    20  0.022561395  41.72956
1749                   1788     8  0.009024558  41.73858
1750                   1789     7  0.007896488  41.74648
1751                   1790     8  0.009024558  41.75550
1752                   1791     3  0.003384209  41.75889
1753                   1792     3  0.003384209  41.76227
1754                   1793     5  0.005640349  41.76791
1755                   1794     7  0.007896488  41.77581
1756                   1795     8  0.009024558  41.78483
1757                   1796     5  0.005640349  41.79047
1758                   1797     9  0.010152628  41.80062
1759                   1798    20  0.022561395  41.82319
1760                   1799    11  0.012408767  41.83560
1761                   1800     2  0.002256140  41.83785
1762                   1801     1  0.001128070  41.83898
1763                   1802     6  0.006768419  41.84575
1764                   1803     6  0.006768419  41.85252
1765                   1804    10  0.011280698  41.86380
1766                   1805     8  0.009024558  41.87282
1767                   1806     4  0.004512279  41.87733
1768                   1807     5  0.005640349  41.88297
1769                   1808    15  0.016921046  41.89990
1770                   1809    10  0.011280698  41.91118
1771                   1810    18  0.020305256  41.93148
1772                   1811     6  0.006768419  41.93825
1773                   1812     2  0.002256140  41.94051
1774                   1813     7  0.007896488  41.94840
1775                   1814     2  0.002256140  41.95066
1776                   1815     1  0.001128070  41.95179
1777                   1816     4  0.004512279  41.95630
1778                   1817     1  0.001128070  41.95743
1779                   1818     7  0.007896488  41.96532
1780                   1819    34  0.038354372  42.00368
1781                   1820    61  0.068812255  42.07249
1782                   1821     5  0.005640349  42.07813
1783                   1822     6  0.006768419  42.08490
1784                   1823     8  0.009024558  42.09392
1785                   1824     8  0.009024558  42.10295
1786                   1825     2  0.002256140  42.10520
1787                   1826     3  0.003384209  42.10859
1788                   1827     6  0.006768419  42.11536
1789                   1828    38  0.042866651  42.15822
1790                   1829    16  0.018049116  42.17627
1791                   1830     4  0.004512279  42.18078
1792                   1831     7  0.007896488  42.18868
1793                   1832     4  0.004512279  42.19319
1794                   1833     8  0.009024558  42.20222
1795                   1834     5  0.005640349  42.20786
1796                   1835     1  0.001128070  42.20899
1797                   1836     5  0.005640349  42.21463
1798                   1837     4  0.004512279  42.21914
1799                   1838     7  0.007896488  42.22704
1800                   1839    17  0.019177186  42.24621
1801                   1840     3  0.003384209  42.24960
1802                   1841     9  0.010152628  42.25975
1803                   1842     9  0.010152628  42.26990
1804                   1843     7  0.007896488  42.27780
1805                   1844     4  0.004512279  42.28231
1806                   1845     5  0.005640349  42.28795
1807                   1846     5  0.005640349  42.29359
1808                   1847     7  0.007896488  42.30149
1809                   1848     8  0.009024558  42.31051
1810                   1849     8  0.009024558  42.31954
1811                   1850     9  0.010152628  42.32969
1812                   1851     5  0.005640349  42.33533
1813                   1852     2  0.002256140  42.33759
1814                   1853     1  0.001128070  42.33871
1815                   1854     4  0.004512279  42.34323
1816                   1855     1  0.001128070  42.34435
1817                   1856     3  0.003384209  42.34774
1818                   1857     1  0.001128070  42.34887
1819                   1858     2  0.002256140  42.35112
1820                   1859     1  0.001128070  42.35225
1821                   1860     6  0.006768419  42.35902
1822                   1861     5  0.005640349  42.36466
1823                   1862     2  0.002256140  42.36692
1824                   1863     8  0.009024558  42.37594
1825                   1864     6  0.006768419  42.38271
1826                   1865     3  0.003384209  42.38609
1827                   1866     1  0.001128070  42.38722
1828                   1867     2  0.002256140  42.38948
1829                   1868     3  0.003384209  42.39286
1830                   1869     2  0.002256140  42.39512
1831                   1870     9  0.010152628  42.40527
1832                   1871     8  0.009024558  42.41429
1833                   1872    23  0.025945604  42.44024
1834                   1873    10  0.011280698  42.45152
1835                   1874     7  0.007896488  42.45942
1836                   1875    10  0.011280698  42.47070
1837                   1876     4  0.004512279  42.47521
1838                   1877     3  0.003384209  42.47859
1839                   1878    11  0.012408767  42.49100
1840                   1879    17  0.019177186  42.51018
1841                   1880     6  0.006768419  42.51695
1842                   1881     3  0.003384209  42.52033
1843                   1882     4  0.004512279  42.52485
1844                   1883     6  0.006768419  42.53161
1845                   1884     8  0.009024558  42.54064
1846                   1885     9  0.010152628  42.55079
1847                   1886     9  0.010152628  42.56094
1848                   1887     3  0.003384209  42.56433
1849                   1888     2  0.002256140  42.56658
1850                   1889     4  0.004512279  42.57110
1851                   1890     2  0.002256140  42.57335
1852                   1891     6  0.006768419  42.58012
1853                   1892     7  0.007896488  42.58802
1854                   1893    18  0.020305256  42.60832
1855                   1894    13  0.014664907  42.62299
1856                   1895     9  0.010152628  42.63314
1857                   1896     6  0.006768419  42.63991
1858                   1897     6  0.006768419  42.64668
1859                   1898     5  0.005640349  42.65232
1860                   1899     8  0.009024558  42.66134
1861                   1900    16  0.018049116  42.67939
1862                   1901     1  0.001128070  42.68052
1863                   1902    11  0.012408767  42.69293
1864                   1903     1  0.001128070  42.69406
1865                   1904     6  0.006768419  42.70082
1866                   1905     2  0.002256140  42.70308
1867                   1906     2  0.002256140  42.70534
1868                   1907     4  0.004512279  42.70985
1869                   1908     4  0.004512279  42.71436
1870                   1909     3  0.003384209  42.71775
1871                   1910     2  0.002256140  42.72000
1872                   1911     7  0.007896488  42.72790
1873                   1912     1  0.001128070  42.72903
1874                   1913     3  0.003384209  42.73241
1875                   1914    11  0.012408767  42.74482
1876                   1915     7  0.007896488  42.75272
1877                   1916     3  0.003384209  42.75610
1878                   1917     1  0.001128070  42.75723
1879                   1918     4  0.004512279  42.76174
1880                   1919     3  0.003384209  42.76512
1881                   1920     3  0.003384209  42.76851
1882                   1921     5  0.005640349  42.77415
1883                   1922     5  0.005640349  42.77979
1884                   1923     2  0.002256140  42.78205
1885                   1924     3  0.003384209  42.78543
1886                   1925     2  0.002256140  42.78769
1887                   1926     5  0.005640349  42.79333
1888                   1927    14  0.015792977  42.80912
1889                   1928     1  0.001128070  42.81025
1890                   1929     2  0.002256140  42.81250
1891                   1930     4  0.004512279  42.81702
1892                   1931     2  0.002256140  42.81927
1893                   1932     4  0.004512279  42.82378
1894                   1933     2  0.002256140  42.82604
1895                   1934     1  0.001128070  42.82717
1896                   1935     8  0.009024558  42.83619
1897                   1936    16  0.018049116  42.85424
1898                   1937     1  0.001128070  42.85537
1899                   1938     2  0.002256140  42.85763
1900                   1939     1  0.001128070  42.85875
1901                   1940    10  0.011280698  42.87004
1902                   1941     3  0.003384209  42.87342
1903                   1942     2  0.002256140  42.87568
1904                   1943     3  0.003384209  42.87906
1905                   1944     6  0.006768419  42.88583
1906                   1945     8  0.009024558  42.89485
1907                   1946     3  0.003384209  42.89824
1908                   1947     6  0.006768419  42.90501
1909                   1948     9  0.010152628  42.91516
1910                   1949     4  0.004512279  42.91967
1911                   1950     2  0.002256140  42.92193
1912                   1951     2  0.002256140  42.92418
1913                   1952     4  0.004512279  42.92869
1914                   1953     4  0.004512279  42.93321
1915                   1954     5  0.005640349  42.93885
1916                   1955     6  0.006768419  42.94562
1917                   1956    12  0.013536837  42.95915
1918                   1957    17  0.019177186  42.97833
1919                   1958     7  0.007896488  42.98623
1920                   1959     3  0.003384209  42.98961
1921                   1960     5  0.005640349  42.99525
1922                   1961     9  0.010152628  43.00540
1923                   1962    19  0.021433325  43.02684
1924                   1963     7  0.007896488  43.03473
1925                   1964     5  0.005640349  43.04037
1926                   1965     5  0.005640349  43.04601
1927                   1966     3  0.003384209  43.04940
1928                   1967     8  0.009024558  43.05842
1929                   1968    10  0.011280698  43.06970
1930                   1969    10  0.011280698  43.08098
1931                   1970    11  0.012408767  43.09339
1932                   1971    11  0.012408767  43.10580
1933                   1972     6  0.006768419  43.11257
1934                   1973     7  0.007896488  43.12047
1935                   1974     1  0.001128070  43.12159
1936                   1975    35  0.039482442  43.16108
1937                   1976    22  0.024817535  43.18589
1938                   1977    14  0.015792977  43.20169
1939                   1978    26  0.029329814  43.23102
1940                   1979     3  0.003384209  43.23440
1941                   1980     2  0.002256140  43.23666
1942                   1981     1  0.001128070  43.23779
1943                   1982    10  0.011280698  43.24907
1944                   1983     6  0.006768419  43.25583
1945                   1984     4  0.004512279  43.26035
1946                   1985     3  0.003384209  43.26373
1947                   1986     2  0.002256140  43.26599
1948                   1987     1  0.001128070  43.26712
1949                   1988     8  0.009024558  43.27614
1950                   1989     2  0.002256140  43.27840
1951                   1990     1  0.001128070  43.27952
1952                   1991     1  0.001128070  43.28065
1953                   1992     5  0.005640349  43.28629
1954                   1993     5  0.005640349  43.29193
1955                   1994     4  0.004512279  43.29645
1956                   1995     8  0.009024558  43.30547
1957                   1996     6  0.006768419  43.31224
1958                   1997    23  0.025945604  43.33818
1959                   1998     8  0.009024558  43.34721
1960                   1999     8  0.009024558  43.35623
1961                   2000     1  0.001128070  43.35736
1962                   2001     1  0.001128070  43.35849
1963                   2002     3  0.003384209  43.36187
1964                   2003     3  0.003384209  43.36526
1965                   2004     3  0.003384209  43.36864
1966                   2005     2  0.002256140  43.37090
1967                   2006     5  0.005640349  43.37654
1968                   2007     1  0.001128070  43.37767
1969                   2008     6  0.006768419  43.38443
1970                   2009     6  0.006768419  43.39120
1971                   2010     1  0.001128070  43.39233
1972                   2011    11  0.012408767  43.40474
1973                   2012    16  0.018049116  43.42279
1974                   2013    12  0.013536837  43.43633
1975                   2014     6  0.006768419  43.44309
1976                   2015     5  0.005640349  43.44873
1977                   2016     6  0.006768419  43.45550
1978                   2017     4  0.004512279  43.46002
1979                   2018     5  0.005640349  43.46566
1980                   2019    16  0.018049116  43.48371
1981                   2020     3  0.003384209  43.48709
1982                   2021     3  0.003384209  43.49047
1983                   2022     4  0.004512279  43.49499
1984                   2023     8  0.009024558  43.50401
1985                   2024    15  0.016921046  43.52093
1986                   2025     3  0.003384209  43.52432
1987                   2026     3  0.003384209  43.52770
1988                   2027     5  0.005640349  43.53334
1989                   2028     4  0.004512279  43.53785
1990                   2029     1  0.001128070  43.53898
1991                   2030     6  0.006768419  43.54575
1992                   2031     9  0.010152628  43.55590
1993                   2032     6  0.006768419  43.56267
1994                   2033    32  0.036098232  43.59877
1995                   2034     5  0.005640349  43.60441
1996                   2035     2  0.002256140  43.60666
1997                   2036     3  0.003384209  43.61005
1998                   2037     2  0.002256140  43.61230
1999                   2039    10  0.011280698  43.62359
2000                   2040     3  0.003384209  43.62697
2001                   2041     7  0.007896488  43.63487
2002                   2042     5  0.005640349  43.64051
2003                   2043    15  0.016921046  43.65743
2004                   2044    14  0.015792977  43.67322
2005                   2045     7  0.007896488  43.68112
2006                   2046     6  0.006768419  43.68789
2007                   2047     7  0.007896488  43.69578
2008                   2048     4  0.004512279  43.70029
2009                   2049     6  0.006768419  43.70706
2010                   2050     2  0.002256140  43.70932
2011                   2051     6  0.006768419  43.71609
2012                   2052     4  0.004512279  43.72060
2013                   2053     8  0.009024558  43.72962
2014                   2054     5  0.005640349  43.73526
2015                   2055    17  0.019177186  43.75444
2016                   2056     4  0.004512279  43.75895
2017                   2057     7  0.007896488  43.76685
2018                   2058     7  0.007896488  43.77475
2019                   2059     2  0.002256140  43.77700
2020                   2060    12  0.013536837  43.79054
2021                   2061     1  0.001128070  43.79167
2022                   2062     5  0.005640349  43.79731
2023                   2063     5  0.005640349  43.80295
2024                   2064     7  0.007896488  43.81085
2025                   2065     6  0.006768419  43.81761
2026                   2066     8  0.009024558  43.82664
2027                   2067    11  0.012408767  43.83905
2028                   2068     1  0.001128070  43.84018
2029                   2069     2  0.002256140  43.84243
2030                   2070     8  0.009024558  43.85146
2031                   2072     3  0.003384209  43.85484
2032                   2073     4  0.004512279  43.85935
2033                   2074     3  0.003384209  43.86274
2034                   2075     7  0.007896488  43.87063
2035                   2076     1  0.001128070  43.87176
2036                   2077     2  0.002256140  43.87402
2037                   2078     7  0.007896488  43.88191
2038                   2079     3  0.003384209  43.88530
2039                   2080     9  0.010152628  43.89545
2040                   2081     2  0.002256140  43.89771
2041                   2082     3  0.003384209  43.90109
2042                   2083     3  0.003384209  43.90448
2043                   2084     5  0.005640349  43.91012
2044                   2085    13  0.014664907  43.92478
2045                   2086    22  0.024817535  43.94960
2046                   2087     4  0.004512279  43.95411
2047                   2088     7  0.007896488  43.96201
2048                   2089     9  0.010152628  43.97216
2049                   2090     8  0.009024558  43.98118
2050                   2091     6  0.006768419  43.98795
2051                   2092    10  0.011280698  43.99923
2052                   2093     5  0.005640349  44.00487
2053                   2094     3  0.003384209  44.00826
2054                   2095     9  0.010152628  44.01841
2055                   2096     4  0.004512279  44.02292
2056                   2097     1  0.001128070  44.02405
2057                   2098     2  0.002256140  44.02631
2058                   2099     2  0.002256140  44.02856
2059                   2100     4  0.004512279  44.03308
2060                   2101     3  0.003384209  44.03646
2061                   2102     4  0.004512279  44.04097
2062                   2103    10  0.011280698  44.05225
2063                   2104     1  0.001128070  44.05338
2064                   2105     2  0.002256140  44.05564
2065                   2106     4  0.004512279  44.06015
2066                   2108     1  0.001128070  44.06128
2067                   2109     4  0.004512279  44.06579
2068                   2110     2  0.002256140  44.06805
2069                   2111     4  0.004512279  44.07256
2070                   2112     9  0.010152628  44.08271
2071                   2113    18  0.020305256  44.10302
2072                   2114     5  0.005640349  44.10866
2073                   2115     2  0.002256140  44.11091
2074                   2116     3  0.003384209  44.11430
2075                   2118     4  0.004512279  44.11881
2076                   2119     4  0.004512279  44.12332
2077                   2120     2  0.002256140  44.12558
2078                   2121     2  0.002256140  44.12783
2079                   2122     3  0.003384209  44.13122
2080                   2123     7  0.007896488  44.13911
2081                   2124     9  0.010152628  44.14927
2082                   2125     2  0.002256140  44.15152
2083                   2126     6  0.006768419  44.15829
2084                   2127    12  0.013536837  44.17183
2085                   2128     7  0.007896488  44.17972
2086                   2129     5  0.005640349  44.18536
2087                   2130     3  0.003384209  44.18875
2088                   2131     8  0.009024558  44.19777
2089                   2132     3  0.003384209  44.20116
2090                   2133     3  0.003384209  44.20454
2091                   2134     2  0.002256140  44.20680
2092                   2135     3  0.003384209  44.21018
2093                   2136     2  0.002256140  44.21244
2094                   2137     9  0.010152628  44.22259
2095                   2138     4  0.004512279  44.22710
2096                   2139     1  0.001128070  44.22823
2097                   2140     7  0.007896488  44.23613
2098                   2141     5  0.005640349  44.24177
2099                   2142    11  0.012408767  44.25418
2100                   2143     4  0.004512279  44.25869
2101                   2144     3  0.003384209  44.26207
2102                   2145    11  0.012408767  44.27448
2103                   2146     2  0.002256140  44.27674
2104                   2147     6  0.006768419  44.28351
2105                   2148     1  0.001128070  44.28463
2106                   2149     3  0.003384209  44.28802
2107                   2150     2  0.002256140  44.29027
2108                   2151     4  0.004512279  44.29479
2109                   2152     3  0.003384209  44.29817
2110                   2153     8  0.009024558  44.30720
2111                   2154     2  0.002256140  44.30945
2112                   2155     4  0.004512279  44.31396
2113                   2156    17  0.019177186  44.33314
2114                   2157     2  0.002256140  44.33540
2115                   2158     4  0.004512279  44.33991
2116                   2159     4  0.004512279  44.34442
2117                   2160     6  0.006768419  44.35119
2118                   2161     2  0.002256140  44.35345
2119                   2162     4  0.004512279  44.35796
2120                   2163     5  0.005640349  44.36360
2121                   2164     2  0.002256140  44.36586
2122                   2165     3  0.003384209  44.36924
2123                   2166     3  0.003384209  44.37262
2124                   2167     3  0.003384209  44.37601
2125                   2168     4  0.004512279  44.38052
2126                   2169     2  0.002256140  44.38278
2127                   2170    10  0.011280698  44.39406
2128                   2171     8  0.009024558  44.40308
2129                   2172     4  0.004512279  44.40759
2130                   2173     4  0.004512279  44.41211
2131                   2174     2  0.002256140  44.41436
2132                   2175     4  0.004512279  44.41887
2133                   2176     3  0.003384209  44.42226
2134                   2177     8  0.009024558  44.43128
2135                   2178     6  0.006768419  44.43805
2136                   2179    62  0.069940325  44.50799
2137                   2180     8  0.009024558  44.51702
2138                   2181     9  0.010152628  44.52717
2139                   2182    11  0.012408767  44.53958
2140                   2183     7  0.007896488  44.54747
2141                   2184     4  0.004512279  44.55199
2142                   2185     7  0.007896488  44.55988
2143                   2186    13  0.014664907  44.57455
2144                   2187     2  0.002256140  44.57680
2145                   2188    14  0.015792977  44.59260
2146                   2189     4  0.004512279  44.59711
2147                   2190     3  0.003384209  44.60049
2148                   2191    13  0.014664907  44.61516
2149                   2192     4  0.004512279  44.61967
2150                   2193     6  0.006768419  44.62644
2151                   2194     1  0.001128070  44.62757
2152                   2196     4  0.004512279  44.63208
2153                   2197     1  0.001128070  44.63321
2154                   2198     4  0.004512279  44.63772
2155                   2199     3  0.003384209  44.64110
2156                   2200    19  0.021433325  44.66254
2157                   2201     5  0.005640349  44.66818
2158                   2202     6  0.006768419  44.67495
2159                   2203     3  0.003384209  44.67833
2160                   2204     4  0.004512279  44.68284
2161                   2205     5  0.005640349  44.68848
2162                   2206     3  0.003384209  44.69187
2163                   2208    17  0.019177186  44.71104
2164                   2209     9  0.010152628  44.72120
2165                   2210     3  0.003384209  44.72458
2166                   2211     3  0.003384209  44.72797
2167                   2212     5  0.005640349  44.73361
2168                   2213     2  0.002256140  44.73586
2169                   2214     1  0.001128070  44.73699
2170                   2215     8  0.009024558  44.74602
2171                   2216    11  0.012408767  44.75842
2172                   2217    12  0.013536837  44.77196
2173                   2218     1  0.001128070  44.77309
2174                   2219     4  0.004512279  44.77760
2175                   2220     7  0.007896488  44.78550
2176                   2221    10  0.011280698  44.79678
2177                   2222    10  0.011280698  44.80806
2178                   2223     3  0.003384209  44.81144
2179                   2224    16  0.018049116  44.82949
2180                   2225     8  0.009024558  44.83852
2181                   2226     3  0.003384209  44.84190
2182                   2227     3  0.003384209  44.84529
2183                   2228     6  0.006768419  44.85205
2184                   2229     4  0.004512279  44.85657
2185                   2230     4  0.004512279  44.86108
2186                   2231     2  0.002256140  44.86333
2187                   2234     5  0.005640349  44.86897
2188                   2235     1  0.001128070  44.87010
2189                   2236     1  0.001128070  44.87123
2190                   2237     8  0.009024558  44.88026
2191                   2238     3  0.003384209  44.88364
2192                   2239     7  0.007896488  44.89154
2193                   2240     7  0.007896488  44.89943
2194                   2241     4  0.004512279  44.90394
2195                   2242     3  0.003384209  44.90733
2196                   2243     3  0.003384209  44.91071
2197                   2244     4  0.004512279  44.91523
2198                   2245     1  0.001128070  44.91635
2199                   2246     4  0.004512279  44.92087
2200                   2247     2  0.002256140  44.92312
2201                   2249     3  0.003384209  44.92651
2202                   2250     6  0.006768419  44.93327
2203                   2251     3  0.003384209  44.93666
2204                   2252    12  0.013536837  44.95020
2205                   2253     7  0.007896488  44.95809
2206                   2254     6  0.006768419  44.96486
2207                   2255     4  0.004512279  44.96937
2208                   2257    11  0.012408767  44.98178
2209                   2258     3  0.003384209  44.98517
2210                   2259     2  0.002256140  44.98742
2211                   2260     5  0.005640349  44.99306
2212                   2261     7  0.007896488  45.00096
2213                   2263     1  0.001128070  45.00209
2214                   2264     4  0.004512279  45.00660
2215                   2266     1  0.001128070  45.00773
2216                   2267     6  0.006768419  45.01450
2217                   2268     4  0.004512279  45.01901
2218                   2269     2  0.002256140  45.02126
2219                   2270     1  0.001128070  45.02239
2220                   2271     3  0.003384209  45.02578
2221                   2272     9  0.010152628  45.03593
2222                   2273     6  0.006768419  45.04270
2223                   2274     3  0.003384209  45.04608
2224                   2275     5  0.005640349  45.05172
2225                   2276     2  0.002256140  45.05398
2226                   2277     4  0.004512279  45.05849
2227                   2278     4  0.004512279  45.06300
2228                   2279     2  0.002256140  45.06526
2229                   2280     4  0.004512279  45.06977
2230                   2281    10  0.011280698  45.08105
2231                   2282     4  0.004512279  45.08556
2232                   2283     5  0.005640349  45.09120
2233                   2284     5  0.005640349  45.09684
2234                   2285     3  0.003384209  45.10023
2235                   2287     3  0.003384209  45.10361
2236                   2288     6  0.006768419  45.11038
2237                   2289     4  0.004512279  45.11489
2238                   2290     3  0.003384209  45.11828
2239                   2291     1  0.001128070  45.11941
2240                   2292     2  0.002256140  45.12166
2241                   2293     2  0.002256140  45.12392
2242                   2294     2  0.002256140  45.12617
2243                   2295     3  0.003384209  45.12956
2244                   2296     5  0.005640349  45.13520
2245                   2297     1  0.001128070  45.13633
2246                   2298     5  0.005640349  45.14197
2247                   2299     1  0.001128070  45.14310
2248                   2300     3  0.003384209  45.14648
2249                   2301     2  0.002256140  45.14874
2250                   2302     8  0.009024558  45.15776
2251                   2303     1  0.001128070  45.15889
2252                   2304     4  0.004512279  45.16340
2253                   2305     6  0.006768419  45.17017
2254                   2306     3  0.003384209  45.17355
2255                   2307     3  0.003384209  45.17694
2256                   2308     4  0.004512279  45.18145
2257                   2310     6  0.006768419  45.18822
2258                   2311    12  0.013536837  45.20176
2259                   2312     4  0.004512279  45.20627
2260                   2313     4  0.004512279  45.21078
2261                   2314     8  0.009024558  45.21980
2262                   2315     7  0.007896488  45.22770
2263                   2316     2  0.002256140  45.22996
2264                   2317    13  0.014664907  45.24462
2265                   2318     5  0.005640349  45.25026
2266                   2319    13  0.014664907  45.26493
2267                   2320     6  0.006768419  45.27170
2268                   2321    15  0.016921046  45.28862
2269                   2322     5  0.005640349  45.29426
2270                   2323     9  0.010152628  45.30441
2271                   2324     6  0.006768419  45.31118
2272                   2325     9  0.010152628  45.32133
2273                   2326     3  0.003384209  45.32471
2274                   2328     9  0.010152628  45.33487
2275                   2330     2  0.002256140  45.33712
2276                   2331     2  0.002256140  45.33938
2277                   2332     1  0.001128070  45.34051
2278                   2333     7  0.007896488  45.34840
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2280                   2335    15  0.016921046  45.36871
2281                   2336     5  0.005640349  45.37435
2282                   2337     3  0.003384209  45.37773
2283                   2338     6  0.006768419  45.38450
2284                   2339     2  0.002256140  45.38676
2285                   2340     4  0.004512279  45.39127
2286                   2341    22  0.024817535  45.41609
2287                   2342    12  0.013536837  45.42963
2288                   2343     2  0.002256140  45.43188
2289                   2344     6  0.006768419  45.43865
2290                   2345     5  0.005640349  45.44429
2291                   2346     5  0.005640349  45.44993
2292                   2347     9  0.010152628  45.46008
2293                   2348    11  0.012408767  45.47249
2294                   2349     3  0.003384209  45.47588
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2296                   2351     7  0.007896488  45.48716
2297                   2352    17  0.019177186  45.50633
2298                   2353     4  0.004512279  45.51085
2299                   2354     6  0.006768419  45.51761
2300                   2355     4  0.004512279  45.52213
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2302                   2357     5  0.005640349  45.53115
2303                   2358     7  0.007896488  45.53905
2304                   2359     9  0.010152628  45.54920
2305                   2360     5  0.005640349  45.55484
2306                   2361     5  0.005640349  45.56048
2307                   2362     3  0.003384209  45.56387
2308                   2363     4  0.004512279  45.56838
2309                   2364     4  0.004512279  45.57289
2310                   2365     3  0.003384209  45.57627
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2312                   2367     6  0.006768419  45.58643
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2314                   2369     7  0.007896488  45.59884
2315                   2371     4  0.004512279  45.60335
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2321                   2378     1  0.001128070  45.62591
2322                   2379    12  0.013536837  45.63945
2323                   2380     1  0.001128070  45.64057
2324                   2381     5  0.005640349  45.64621
2325                   2382    13  0.014664907  45.66088
2326                   2383    10  0.011280698  45.67216
2327                   2384     6  0.006768419  45.67893
2328                   2385     4  0.004512279  45.68344
2329                   2386     2  0.002256140  45.68570
2330                   2387     3  0.003384209  45.68908
2331                   2388     3  0.003384209  45.69247
2332                   2389     7  0.007896488  45.70036
2333                   2390     2  0.002256140  45.70262
2334                   2391     9  0.010152628  45.71277
2335                   2392     2  0.002256140  45.71503
2336                   2393     5  0.005640349  45.72067
2337                   2394     2  0.002256140  45.72292
2338                   2395    15  0.016921046  45.73984
2339                   2396     5  0.005640349  45.74548
2340                   2397     1  0.001128070  45.74661
2341                   2398     2  0.002256140  45.74887
2342                   2399     6  0.006768419  45.75564
2343                   2400     2  0.002256140  45.75789
2344                   2401     4  0.004512279  45.76241
2345                   2402     8  0.009024558  45.77143
2346                   2403     3  0.003384209  45.77481
2347                   2404     2  0.002256140  45.77707
2348                   2405     3  0.003384209  45.78046
2349                   2406     5  0.005640349  45.78610
2350                   2407     4  0.004512279  45.79061
2351                   2408     4  0.004512279  45.79512
2352                   2409    13  0.014664907  45.80978
2353                   2410    13  0.014664907  45.82445
2354                   2411     3  0.003384209  45.82783
2355                   2412     4  0.004512279  45.83235
2356                   2413     7  0.007896488  45.84024
2357                   2415     4  0.004512279  45.84476
2358                   2416    11  0.012408767  45.85716
2359                   2417     7  0.007896488  45.86506
2360                   2418     3  0.003384209  45.86844
2361                   2419     9  0.010152628  45.87860
2362                   2420    11  0.012408767  45.89101
2363                   2421    11  0.012408767  45.90341
2364                   2422     5  0.005640349  45.90906
2365                   2423     7  0.007896488  45.91695
2366                   2424     3  0.003384209  45.92034
2367                   2425    14  0.015792977  45.93613
2368                   2426     5  0.005640349  45.94177
2369                   2427     3  0.003384209  45.94515
2370                   2428     3  0.003384209  45.94854
2371                   2429     5  0.005640349  45.95418
2372                   2430     3  0.003384209  45.95756
2373                   2431     2  0.002256140  45.95982
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2375                   2433     8  0.009024558  45.97110
2376                   2434     3  0.003384209  45.97448
2377                   2435     5  0.005640349  45.98012
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2379                   2437     2  0.002256140  45.98576
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2381                   2439     5  0.005640349  45.99479
2382                   2440     3  0.003384209  45.99817
2383                   2441     2  0.002256140  46.00043
2384                   2442    14  0.015792977  46.01622
2385                   2443    17  0.019177186  46.03540
2386                   2444     1  0.001128070  46.03653
2387                   2445     1  0.001128070  46.03765
2388                   2446     8  0.009024558  46.04668
2389                   2447     5  0.005640349  46.05232
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2400                   2458     9  0.010152628  46.10647
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2402                   2460     8  0.009024558  46.11888
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2406                   2464     6  0.006768419  46.13693
2407                   2465    17  0.019177186  46.15610
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2421                   2479     6  0.006768419  46.25763
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2423                   2481     3  0.003384209  46.26440
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2425                   2483    50  0.056403488  46.32870
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2438                   2496    25  0.028201744  46.40653
2439                   2497    17  0.019177186  46.42571
2440                   2498     8  0.009024558  46.43474
2441                   2499    14  0.015792977  46.45053
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2446                   2504     6  0.006768419  46.47760
2447                   2505     8  0.009024558  46.48663
2448                   2506     3  0.003384209  46.49001
2449                   2507     7  0.007896488  46.49791
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2457                   2515    12  0.013536837  46.54529
2458                   2516     8  0.009024558  46.55431
2459                   2517     7  0.007896488  46.56221
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2461                   2519     7  0.007896488  46.57800
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2464                   2522     4  0.004512279  46.59605
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2468                   2526     6  0.006768419  46.61410
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2470                   2528    19  0.021433325  46.64004
2471                   2529    13  0.014664907  46.65471
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2475                   2533     3  0.003384209  46.66937
2476                   2534     6  0.006768419  46.67614
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2481                   2539    10  0.011280698  46.70773
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2493                   2551     8  0.009024558  46.76075
2494                   2552    20  0.022561395  46.78331
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2500                   2558    10  0.011280698  46.84084
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2505                   2563    13  0.014664907  46.89160
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2540                   2600    23  0.025945604  47.13639
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2554                   2615     9  0.010152628  47.22438
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2589                   2652    21  0.023689465  47.46128
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2606                   2669     4  0.004512279  47.52896
2607                   2670    17  0.019177186  47.54814
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2620                   2683     6  0.006768419  47.63613
2621                   2684    32  0.036098232  47.67223
2622                   2685     7  0.007896488  47.68012
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2637                   2700     4  0.004512279  47.76586
2638                   2701     4  0.004512279  47.77037
2639                   2702     7  0.007896488  47.77827
2640                   2703     5  0.005640349  47.78391
2641                   2704     2  0.002256140  47.78616
2642                   2705     3  0.003384209  47.78955
2643                   2706    16  0.018049116  47.80760
2644                   2707     5  0.005640349  47.81324
2645                   2708     4  0.004512279  47.81775
2646                   2709     8  0.009024558  47.82677
2647                   2710    13  0.014664907  47.84144
2648                   2711     8  0.009024558  47.85046
2649                   2712    12  0.013536837  47.86400
2650                   2713     5  0.005640349  47.86964
2651                   2714     2  0.002256140  47.87190
2652                   2715    12  0.013536837  47.88543
2653                   2716     9  0.010152628  47.89559
2654                   2717     3  0.003384209  47.89897
2655                   2718     3  0.003384209  47.90235
2656                   2719     2  0.002256140  47.90461
2657                   2720     1  0.001128070  47.90574
2658                   2721    15  0.016921046  47.92266
2659                   2722     7  0.007896488  47.93056
2660                   2723     4  0.004512279  47.93507
2661                   2724     8  0.009024558  47.94409
2662                   2725     6  0.006768419  47.95086
2663                   2726     4  0.004512279  47.95537
2664                   2727     5  0.005640349  47.96101
2665                   2728     2  0.002256140  47.96327
2666                   2729     3  0.003384209  47.96665
2667                   2730     6  0.006768419  47.97342
2668                   2731     5  0.005640349  47.97906
2669                   2732    12  0.013536837  47.99260
2670                   2733     3  0.003384209  47.99598
2671                   2734     9  0.010152628  48.00614
2672                   2735     4  0.004512279  48.01065
2673                   2736     1  0.001128070  48.01178
2674                   2737     3  0.003384209  48.01516
2675                   2738     3  0.003384209  48.01855
2676                   2739     1  0.001128070  48.01967
2677                   2740     1  0.001128070  48.02080
2678                   2741     2  0.002256140  48.02306
2679                   2742     1  0.001128070  48.02419
2680                   2743     4  0.004512279  48.02870
2681                   2744     1  0.001128070  48.02983
2682                   2745     1  0.001128070  48.03095
2683                   2746     3  0.003384209  48.03434
2684                   2747     9  0.010152628  48.04449
2685                   2748    12  0.013536837  48.05803
2686                   2749    11  0.012408767  48.07044
2687                   2750    16  0.018049116  48.08849
2688                   2751     7  0.007896488  48.09638
2689                   2752    10  0.011280698  48.10766
2690                   2753     2  0.002256140  48.10992
2691                   2754     7  0.007896488  48.11782
2692                   2755     2  0.002256140  48.12007
2693                   2756     9  0.010152628  48.13022
2694                   2757     4  0.004512279  48.13474
2695                   2758     6  0.006768419  48.14151
2696                   2759     5  0.005640349  48.14715
2697                   2760     4  0.004512279  48.15166
2698                   2761     4  0.004512279  48.15617
2699                   2762    10  0.011280698  48.16745
2700                   2763     6  0.006768419  48.17422
2701                   2764     6  0.006768419  48.18099
2702                   2765     3  0.003384209  48.18437
2703                   2766     3  0.003384209  48.18776
2704                   2767     6  0.006768419  48.19452
2705                   2768     5  0.005640349  48.20016
2706                   2769    15  0.016921046  48.21709
2707                   2770     5  0.005640349  48.22273
2708                   2771     2  0.002256140  48.22498
2709                   2772     3  0.003384209  48.22837
2710                   2773     3  0.003384209  48.23175
2711                   2774     3  0.003384209  48.23513
2712                   2775     4  0.004512279  48.23965
2713                   2776     2  0.002256140  48.24190
2714                   2777     5  0.005640349  48.24754
2715                   2778     9  0.010152628  48.25770
2716                   2779     5  0.005640349  48.26334
2717                   2780     4  0.004512279  48.26785
2718                   2781     4  0.004512279  48.27236
2719                   2782     2  0.002256140  48.27462
2720                   2783     7  0.007896488  48.28251
2721                   2784     4  0.004512279  48.28703
2722                   2785     2  0.002256140  48.28928
2723                   2786    10  0.011280698  48.30056
2724                   2787     6  0.006768419  48.30733
2725                   2788     8  0.009024558  48.31636
2726                   2789     5  0.005640349  48.32200
2727                   2790     4  0.004512279  48.32651
2728                   2791    10  0.011280698  48.33779
2729                   2792     4  0.004512279  48.34230
2730                   2794     5  0.005640349  48.34794
2731                   2795     5  0.005640349  48.35358
2732                   2796    15  0.016921046  48.37050
2733                   2797     9  0.010152628  48.38066
2734                   2798     5  0.005640349  48.38630
2735                   2799     2  0.002256140  48.38855
2736                   2800    10  0.011280698  48.39983
2737                   2801     4  0.004512279  48.40435
2738                   2802     4  0.004512279  48.40886
2739                   2803    11  0.012408767  48.42127
2740                   2804     6  0.006768419  48.42803
2741                   2805     2  0.002256140  48.43029
2742                   2806     1  0.001128070  48.43142
2743                   2807     3  0.003384209  48.43480
2744                   2808     6  0.006768419  48.44157
2745                   2809     4  0.004512279  48.44608
2746                   2810     2  0.002256140  48.44834
2747                   2811    10  0.011280698  48.45962
2748                   2812     4  0.004512279  48.46413
2749                   2813     8  0.009024558  48.47316
2750                   2814     2  0.002256140  48.47541
2751                   2815     8  0.009024558  48.48444
2752                   2816     7  0.007896488  48.49233
2753                   2817     2  0.002256140  48.49459
2754                   2818     2  0.002256140  48.49685
2755                   2819     4  0.004512279  48.50136
2756                   2820     2  0.002256140  48.50362
2757                   2821     7  0.007896488  48.51151
2758                   2822     5  0.005640349  48.51715
2759                   2823    10  0.011280698  48.52843
2760                   2824     5  0.005640349  48.53407
2761                   2825     2  0.002256140  48.53633
2762                   2826     6  0.006768419  48.54310
2763                   2827     5  0.005640349  48.54874
2764                   2828    10  0.011280698  48.56002
2765                   2829     5  0.005640349  48.56566
2766                   2830     3  0.003384209  48.56904
2767                   2831     3  0.003384209  48.57243
2768                   2832     2  0.002256140  48.57468
2769                   2833     7  0.007896488  48.58258
2770                   2834     9  0.010152628  48.59273
2771                   2835     2  0.002256140  48.59499
2772                   2836     6  0.006768419  48.60176
2773                   2837     3  0.003384209  48.60514
2774                   2838     2  0.002256140  48.60740
2775                   2839     8  0.009024558  48.61642
2776                   2840     4  0.004512279  48.62093
2777                   2841     8  0.009024558  48.62996
2778                   2842     6  0.006768419  48.63673
2779                   2843    18  0.020305256  48.65703
2780                   2844     3  0.003384209  48.66042
2781                   2845     4  0.004512279  48.66493
2782                   2846     2  0.002256140  48.66719
2783                   2847     4  0.004512279  48.67170
2784                   2849     5  0.005640349  48.67734
2785                   2850     9  0.010152628  48.68749
2786                   2851    14  0.015792977  48.70328
2787                   2852     4  0.004512279  48.70780
2788                   2853     3  0.003384209  48.71118
2789                   2854     3  0.003384209  48.71456
2790                   2855     2  0.002256140  48.71682
2791                   2856     3  0.003384209  48.72020
2792                   2857     3  0.003384209  48.72359
2793                   2858     5  0.005640349  48.72923
2794                   2859     7  0.007896488  48.73713
2795                   2860     1  0.001128070  48.73825
2796                   2861     9  0.010152628  48.74841
2797                   2862    11  0.012408767  48.76082
2798                   2864     5  0.005640349  48.76646
2799                   2865     6  0.006768419  48.77322
2800                   2866    14  0.015792977  48.78902
2801                   2867     3  0.003384209  48.79240
2802                   2869     8  0.009024558  48.80143
2803                   2870     8  0.009024558  48.81045
2804                   2871    10  0.011280698  48.82173
2805                   2872     5  0.005640349  48.82737
2806                   2873    10  0.011280698  48.83865
2807                   2874     2  0.002256140  48.84091
2808                   2875    22  0.024817535  48.86573
2809                   2876     6  0.006768419  48.87249
2810                   2877     5  0.005640349  48.87813
2811                   2878     4  0.004512279  48.88265
2812                   2879     5  0.005640349  48.88829
2813                   2880     6  0.006768419  48.89506
2814                   2881     6  0.006768419  48.90182
2815                   2882     9  0.010152628  48.91198
2816                   2883     9  0.010152628  48.92213
2817                   2884     2  0.002256140  48.92439
2818                   2885     4  0.004512279  48.92890
2819                   2886    11  0.012408767  48.94131
2820                   2887    10  0.011280698  48.95259
2821                   2888    19  0.021433325  48.97402
2822                   2889     4  0.004512279  48.97853
2823                   2890     6  0.006768419  48.98530
2824                   2891     3  0.003384209  48.98869
2825                   2892     2  0.002256140  48.99094
2826                   2893     3  0.003384209  48.99433
2827                   2894     5  0.005640349  48.99997
2828                   2895     2  0.002256140  49.00222
2829                   2896    10  0.011280698  49.01350
2830                   2897     5  0.005640349  49.01914
2831                   2898    12  0.013536837  49.03268
2832                   2899     3  0.003384209  49.03606
2833                   2900    12  0.013536837  49.04960
2834                   2901     6  0.006768419  49.05637
2835                   2902     4  0.004512279  49.06088
2836                   2903     4  0.004512279  49.06539
2837                   2904     6  0.006768419  49.07216
2838                   2905     4  0.004512279  49.07667
2839                   2906     6  0.006768419  49.08344
2840                   2907     3  0.003384209  49.08683
2841                   2908    10  0.011280698  49.09811
2842                   2909     8  0.009024558  49.10713
2843                   2910     7  0.007896488  49.11503
2844                   2911     3  0.003384209  49.11841
2845                   2912     5  0.005640349  49.12405
2846                   2913     2  0.002256140  49.12631
2847                   2914     5  0.005640349  49.13195
2848                   2915     7  0.007896488  49.13985
2849                   2916     3  0.003384209  49.14323
2850                   2917    14  0.015792977  49.15902
2851                   2918     6  0.006768419  49.16579
2852                   2919     4  0.004512279  49.17030
2853                   2920     5  0.005640349  49.17595
2854                   2921    12  0.013536837  49.18948
2855                   2922     5  0.005640349  49.19512
2856                   2923     4  0.004512279  49.19963
2857                   2924     2  0.002256140  49.20189
2858                   2925    28  0.031585953  49.23348
2859                   2926     3  0.003384209  49.23686
2860                   2927     5  0.005640349  49.24250
2861                   2928    15  0.016921046  49.25942
2862                   2929     2  0.002256140  49.26168
2863                   2930     6  0.006768419  49.26845
2864                   2931    37  0.041738581  49.31019
2865                   2932     2  0.002256140  49.31244
2866                   2933     5  0.005640349  49.31808
2867                   2934     4  0.004512279  49.32259
2868                   2935    11  0.012408767  49.33500
2869                   2936    30  0.033842093  49.36884
2870                   2937    27  0.030457884  49.39930
2871                   2938     1  0.001128070  49.40043
2872                   2939     3  0.003384209  49.40382
2873                   2940     4  0.004512279  49.40833
2874                   2941     8  0.009024558  49.41735
2875                   2942     1  0.001128070  49.41848
2876                   2943     1  0.001128070  49.41961
2877                   2944     1  0.001128070  49.42074
2878                   2945     2  0.002256140  49.42299
2879                   2946    14  0.015792977  49.43879
2880                   2947     3  0.003384209  49.44217
2881                   2948     2  0.002256140  49.44443
2882                   2949     2  0.002256140  49.44668
2883                   2950     5  0.005640349  49.45232
2884                   2951     4  0.004512279  49.45683
2885                   2952    11  0.012408767  49.46924
2886                   2953     6  0.006768419  49.47601
2887                   2954     7  0.007896488  49.48391
2888                   2955     4  0.004512279  49.48842
2889                   2956     4  0.004512279  49.49293
2890                   2957     2  0.002256140  49.49519
2891                   2958     2  0.002256140  49.49744
2892                   2959     4  0.004512279  49.50196
2893                   2960     4  0.004512279  49.50647
2894                   2961     2  0.002256140  49.50873
2895                   2962     1  0.001128070  49.50985
2896                   2963     2  0.002256140  49.51211
2897                   2964     6  0.006768419  49.51888
2898                   2965    11  0.012408767  49.53129
2899                   2966     7  0.007896488  49.53918
2900                   2967     5  0.005640349  49.54482
2901                   2968     3  0.003384209  49.54821
2902                   2969     4  0.004512279  49.55272
2903                   2970    20  0.022561395  49.57528
2904                   2971     3  0.003384209  49.57867
2905                   2972     3  0.003384209  49.58205
2906                   2974     7  0.007896488  49.58995
2907                   2975    14  0.015792977  49.60574
2908                   2976     8  0.009024558  49.61476
2909                   2977     4  0.004512279  49.61928
2910                   2978     1  0.001128070  49.62040
2911                   2979     3  0.003384209  49.62379
2912                   2980     2  0.002256140  49.62604
2913                   2981     4  0.004512279  49.63056
2914                   2982    11  0.012408767  49.64297
2915                   2983    20  0.022561395  49.66553
2916                   2984     2  0.002256140  49.66778
2917                   2985     2  0.002256140  49.67004
2918                   2986     5  0.005640349  49.67568
2919                   2987     3  0.003384209  49.67906
2920                   2988     2  0.002256140  49.68132
2921                   2989     6  0.006768419  49.68809
2922                   2990    10  0.011280698  49.69937
2923                   2991    32  0.036098232  49.73547
2924                   2992     1  0.001128070  49.73660
2925                   2993     1  0.001128070  49.73772
2926                   2994     7  0.007896488  49.74562
2927                   2995     7  0.007896488  49.75352
2928                   2996     1  0.001128070  49.75464
2929                   2997     9  0.010152628  49.76480
2930                   2998     3  0.003384209  49.76818
2931                   2999     1  0.001128070  49.76931
2932                   3000     2  0.002256140  49.77157
2933                   3001    25  0.028201744  49.79977
2934                   3002    10  0.011280698  49.81105
2935                   3003     1  0.001128070  49.81218
2936                   3004     1  0.001128070  49.81330
2937                   3005     1  0.001128070  49.81443
2938                   3006     1  0.001128070  49.81556
2939                   3007     1  0.001128070  49.81669
2940                   3008     4  0.004512279  49.82120
2941                   3009     1  0.001128070  49.82233
2942                   3011     8  0.009024558  49.83135
2943                   3012     2  0.002256140  49.83361
2944                   3013     2  0.002256140  49.83587
2945                   3014     2  0.002256140  49.83812
2946                   3015     1  0.001128070  49.83925
2947                   3016     4  0.004512279  49.84376
2948                   3017     7  0.007896488  49.85166
2949                   3018     4  0.004512279  49.85617
2950                   3019     6  0.006768419  49.86294
2951                   3020     4  0.004512279  49.86745
2952                   3021     3  0.003384209  49.87084
2953                   3022     4  0.004512279  49.87535
2954                   3023     3  0.003384209  49.87873
2955                   3024     7  0.007896488  49.88663
2956                   3025     6  0.006768419  49.89340
2957                   3026     5  0.005640349  49.89904
2958                   3027     6  0.006768419  49.90581
2959                   3028     3  0.003384209  49.90919
2960                   3030     7  0.007896488  49.91709
2961                   3031     3  0.003384209  49.92047
2962                   3032     2  0.002256140  49.92273
2963                   3033     6  0.006768419  49.92950
2964                   3034     6  0.006768419  49.93626
2965                   3035     7  0.007896488  49.94416
2966                   3036     2  0.002256140  49.94642
2967                   3037    14  0.015792977  49.96221
2968                   3038     3  0.003384209  49.96559
2969                   3039     2  0.002256140  49.96785
2970                   3040     5  0.005640349  49.97349
2971                   3041     3  0.003384209  49.97687
2972                   3042     5  0.005640349  49.98251
2973                   3043     5  0.005640349  49.98816
2974                   3044     4  0.004512279  49.99267
2975                   3045     1  0.001128070  49.99380
2976                   3046     7  0.007896488  50.00169
2977                   3047    28  0.031585953  50.03328
2978                   3048    33  0.037226302  50.07050
2979                   3049     7  0.007896488  50.07840
2980                   3050     8  0.009024558  50.08743
2981                   3051    22  0.024817535  50.11224
2982                   3052     4  0.004512279  50.11676
2983                   3053     4  0.004512279  50.12127
2984                   3054     1  0.001128070  50.12240
2985                   3055     1  0.001128070  50.12352
2986                   3056    26  0.029329814  50.15285
2987                   3057     8  0.009024558  50.16188
2988                   3058     3  0.003384209  50.16526
2989                   3059     2  0.002256140  50.16752
2990                   3060     3  0.003384209  50.17090
2991                   3061     1  0.001128070  50.17203
2992                   3062     2  0.002256140  50.17429
2993                   3063     5  0.005640349  50.17993
2994                   3064     4  0.004512279  50.18444
2995                   3065     1  0.001128070  50.18557
2996                   3066     5  0.005640349  50.19121
2997                   3067     4  0.004512279  50.19572
2998                   3068     5  0.005640349  50.20136
2999                   3070     2  0.002256140  50.20362
3000                   3071     4  0.004512279  50.20813
3001                   3072     3  0.003384209  50.21151
3002                   3073     3  0.003384209  50.21490
3003                   3074     4  0.004512279  50.21941
3004                   3075     2  0.002256140  50.22167
3005                   3076     1  0.001128070  50.22279
3006                   3077     3  0.003384209  50.22618
3007                   3078     1  0.001128070  50.22731
3008                   3079     3  0.003384209  50.23069
3009                   3080     8  0.009024558  50.23971
3010                   3082     3  0.003384209  50.24310
3011                   3083    11  0.012408767  50.25551
3012                   3084     5  0.005640349  50.26115
3013                   3085     3  0.003384209  50.26453
3014                   3086     1  0.001128070  50.26566
3015                   3087     6  0.006768419  50.27243
3016                   3088     3  0.003384209  50.27581
3017                   3089     6  0.006768419  50.28258
3018                   3090     1  0.001128070  50.28371
3019                   3091     2  0.002256140  50.28597
3020                   3092     2  0.002256140  50.28822
3021                   3093     2  0.002256140  50.29048
3022                   3094     8  0.009024558  50.29950
3023                   3095     3  0.003384209  50.30289
3024                   3096     2  0.002256140  50.30514
3025                   3097     3  0.003384209  50.30853
3026                   3098     2  0.002256140  50.31078
3027                   3099     9  0.010152628  50.32094
3028                   3100     3  0.003384209  50.32432
3029                   3101     4  0.004512279  50.32883
3030                   3102     5  0.005640349  50.33447
3031                   3103     4  0.004512279  50.33898
3032                   3104     8  0.009024558  50.34801
3033                   3105     4  0.004512279  50.35252
3034                   3106     4  0.004512279  50.35703
3035                   3107     3  0.003384209  50.36042
3036                   3108     3  0.003384209  50.36380
3037                   3109     5  0.005640349  50.36944
3038                   3110     3  0.003384209  50.37283
3039                   3111     5  0.005640349  50.37847
3040                   3112     4  0.004512279  50.38298
3041                   3113     7  0.007896488  50.39088
3042                   3114     5  0.005640349  50.39652
3043                   3115     5  0.005640349  50.40216
3044                   3116    10  0.011280698  50.41344
3045                   3117    14  0.015792977  50.42923
3046                   3118     1  0.001128070  50.43036
3047                   3119     4  0.004512279  50.43487
3048                   3120     1  0.001128070  50.43600
3049                   3121     8  0.009024558  50.44502
3050                   3122     4  0.004512279  50.44954
3051                   3123     8  0.009024558  50.45856
3052                   3124     2  0.002256140  50.46082
3053                   3125     3  0.003384209  50.46420
3054                   3126     8  0.009024558  50.47323
3055                   3127     5  0.005640349  50.47887
3056                   3128     1  0.001128070  50.47999
3057                   3129     3  0.003384209  50.48338
3058                   3130     4  0.004512279  50.48789
3059                   3131    16  0.018049116  50.50594
3060                   3132     2  0.002256140  50.50820
3061                   3133     2  0.002256140  50.51045
3062                   3135     7  0.007896488  50.51835
3063                   3136     3  0.003384209  50.52173
3064                   3137    25  0.028201744  50.54993
3065                   3138     5  0.005640349  50.55557
3066                   3139     5  0.005640349  50.56121
3067                   3140    10  0.011280698  50.57250
3068                   3141     8  0.009024558  50.58152
3069                   3142     1  0.001128070  50.58265
3070                   3143     1  0.001128070  50.58378
3071                   3144    15  0.016921046  50.60070
3072                   3145     7  0.007896488  50.60859
3073                   3146     1  0.001128070  50.60972
3074                   3147    12  0.013536837  50.62326
3075                   3148     2  0.002256140  50.62551
3076                   3149     1  0.001128070  50.62664
3077                   3150     1  0.001128070  50.62777
3078                   3151     8  0.009024558  50.63680
3079                   3152     7  0.007896488  50.64469
3080                   3153     4  0.004512279  50.64920
3081                   3154     1  0.001128070  50.65033
3082                   3155     8  0.009024558  50.65936
3083                   3156    10  0.011280698  50.67064
3084                   3157     9  0.010152628  50.68079
3085                   3158    16  0.018049116  50.69884
3086                   3159     1  0.001128070  50.69997
3087                   3160     2  0.002256140  50.70222
3088                   3161     6  0.006768419  50.70899
3089                   3162     6  0.006768419  50.71576
3090                   3163     3  0.003384209  50.71914
3091                   3164     1  0.001128070  50.72027
3092                   3165     7  0.007896488  50.72817
3093                   3166     6  0.006768419  50.73494
3094                   3167     2  0.002256140  50.73719
3095                   3168     7  0.007896488  50.74509
3096                   3169     7  0.007896488  50.75299
3097                   3171     1  0.001128070  50.75411
3098                   3172     5  0.005640349  50.75975
3099                   3173     3  0.003384209  50.76314
3100                   3174     9  0.010152628  50.77329
3101                   3175     4  0.004512279  50.77780
3102                   3176     7  0.007896488  50.78570
3103                   3177    27  0.030457884  50.81616
3104                   3178    53  0.059787697  50.87595
3105                   3179     6  0.006768419  50.88271
3106                   3180     4  0.004512279  50.88723
3107                   3181     9  0.010152628  50.89738
3108                   3182     2  0.002256140  50.89964
3109                   3183     2  0.002256140  50.90189
3110                   3184     1  0.001128070  50.90302
3111                   3185     5  0.005640349  50.90866
3112                   3186     3  0.003384209  50.91204
3113                   3187     9  0.010152628  50.92220
3114                   3188     5  0.005640349  50.92784
3115                   3189     6  0.006768419  50.93461
3116                   3190     5  0.005640349  50.94025
3117                   3191     1  0.001128070  50.94137
3118                   3192     5  0.005640349  50.94701
3119                   3193     5  0.005640349  50.95265
3120                   3194     5  0.005640349  50.95830
3121                   3195     3  0.003384209  50.96168
3122                   3196     9  0.010152628  50.97183
3123                   3197     5  0.005640349  50.97747
3124                   3198    11  0.012408767  50.98988
3125                   3199     3  0.003384209  50.99327
3126                   3200     7  0.007896488  51.00116
3127                   3201     4  0.004512279  51.00567
3128                   3202     2  0.002256140  51.00793
3129                   3203     1  0.001128070  51.00906
3130                   3204     1  0.001128070  51.01019
3131                   3205     1  0.001128070  51.01131
3132                   3206     3  0.003384209  51.01470
3133                   3207     7  0.007896488  51.02260
3134                   3208     3  0.003384209  51.02598
3135                   3209     5  0.005640349  51.03162
3136                   3210     6  0.006768419  51.03839
3137                   3211     5  0.005640349  51.04403
3138                   3212     7  0.007896488  51.05193
3139                   3213    11  0.012408767  51.06433
3140                   3214     8  0.009024558  51.07336
3141                   3215     5  0.005640349  51.07900
3142                   3216    11  0.012408767  51.09141
3143                   3217     1  0.001128070  51.09254
3144                   3218     1  0.001128070  51.09366
3145                   3219     3  0.003384209  51.09705
3146                   3220     3  0.003384209  51.10043
3147                   3221     4  0.004512279  51.10494
3148                   3222     3  0.003384209  51.10833
3149                   3223     9  0.010152628  51.11848
3150                   3224     8  0.009024558  51.12751
3151                   3225     6  0.006768419  51.13427
3152                   3226     2  0.002256140  51.13653
3153                   3227     2  0.002256140  51.13879
3154                   3228    33  0.037226302  51.17601
3155                   3229     2  0.002256140  51.17827
3156                   3230     7  0.007896488  51.18617
3157                   3231     4  0.004512279  51.19068
3158                   3232     7  0.007896488  51.19857
3159                   3233     7  0.007896488  51.20647
3160                   3234     8  0.009024558  51.21550
3161                   3235     7  0.007896488  51.22339
3162                   3236    12  0.013536837  51.23693
3163                   3237     4  0.004512279  51.24144
3164                   3238     6  0.006768419  51.24821
3165                   3239     5  0.005640349  51.25385
3166                   3241     7  0.007896488  51.26175
3167                   3242     5  0.005640349  51.26739
3168                   3243    13  0.014664907  51.28205
3169                   3244     8  0.009024558  51.29108
3170                   3245     2  0.002256140  51.29333
3171                   3246     5  0.005640349  51.29897
3172                   3247     2  0.002256140  51.30123
3173                   3248     5  0.005640349  51.30687
3174                   3249     3  0.003384209  51.31025
3175                   3250     4  0.004512279  51.31477
3176                   3251     5  0.005640349  51.32041
3177                   3253     6  0.006768419  51.32717
3178                   3254     4  0.004512279  51.33169
3179                   3255     2  0.002256140  51.33394
3180                   3256     6  0.006768419  51.34071
3181                   3257     4  0.004512279  51.34522
3182                   3258     5  0.005640349  51.35086
3183                   3259     6  0.006768419  51.35763
3184                   3260     2  0.002256140  51.35989
3185                   3261     3  0.003384209  51.36327
3186                   3262     2  0.002256140  51.36553
3187                   3263     9  0.010152628  51.37568
3188                   3264    11  0.012408767  51.38809
3189                   3265    11  0.012408767  51.40050
3190                   3266     7  0.007896488  51.40840
3191                   3267    16  0.018049116  51.42644
3192                   3268     2  0.002256140  51.42870
3193                   3269     4  0.004512279  51.43321
3194                   3270     1  0.001128070  51.43434
3195                   3271     3  0.003384209  51.43772
3196                   3272     4  0.004512279  51.44224
3197                   3273     4  0.004512279  51.44675
3198                   3274     4  0.004512279  51.45126
3199                   3275     5  0.005640349  51.45690
3200                   3276     6  0.006768419  51.46367
3201                   3277     6  0.006768419  51.47044
3202                   3279    12  0.013536837  51.48398
3203                   3280     6  0.006768419  51.49074
3204                   3281     7  0.007896488  51.49864
3205                   3282     3  0.003384209  51.50202
3206                   3283     2  0.002256140  51.50428
3207                   3284     7  0.007896488  51.51218
3208                   3285     2  0.002256140  51.51443
3209                   3286    11  0.012408767  51.52684
3210                   3287     7  0.007896488  51.53474
3211                   3288     3  0.003384209  51.53812
3212                   3289     5  0.005640349  51.54376
3213                   3290     4  0.004512279  51.54828
3214                   3291     4  0.004512279  51.55279
3215                   3292     4  0.004512279  51.55730
3216                   3293     6  0.006768419  51.56407
3217                   3294     1  0.001128070  51.56520
3218                   3295     5  0.005640349  51.57084
3219                   3296     4  0.004512279  51.57535
3220                   3297     3  0.003384209  51.57873
3221                   3298    47  0.053019279  51.63175
3222                   3299    69  0.077836813  51.70959
3223                   3300     5  0.005640349  51.71523
3224                   3301     2  0.002256140  51.71749
3225                   3302     6  0.006768419  51.72425
3226                   3303     6  0.006768419  51.73102
3227                   3304     4  0.004512279  51.73554
3228                   3305     4  0.004512279  51.74005
3229                   3306     1  0.001128070  51.74118
3230                   3307     2  0.002256140  51.74343
3231                   3308     5  0.005640349  51.74907
3232                   3309    22  0.024817535  51.77389
3233                   3310    10  0.011280698  51.78517
3234                   3311     7  0.007896488  51.79307
3235                   3312     5  0.005640349  51.79871
3236                   3313     2  0.002256140  51.80096
3237                   3314     4  0.004512279  51.80548
3238                   3315     5  0.005640349  51.81112
3239                   3316     2  0.002256140  51.81337
3240                   3317     3  0.003384209  51.81676
3241                   3318     2  0.002256140  51.81901
3242                   3319     8  0.009024558  51.82804
3243                   3320     1  0.001128070  51.82917
3244                   3321    20  0.022561395  51.85173
3245                   3322     5  0.005640349  51.85737
3246                   3323     6  0.006768419  51.86414
3247                   3324     2  0.002256140  51.86639
3248                   3325     3  0.003384209  51.86978
3249                   3326     3  0.003384209  51.87316
3250                   3327     2  0.002256140  51.87542
3251                   3328    12  0.013536837  51.88895
3252                   3329     7  0.007896488  51.89685
3253                   3330    11  0.012408767  51.90926
3254                   3331     5  0.005640349  51.91490
3255                   3332     5  0.005640349  51.92054
3256                   3333     1  0.001128070  51.92167
3257                   3334    11  0.012408767  51.93408
3258                   3335     4  0.004512279  51.93859
3259                   3336     7  0.007896488  51.94648
3260                   3337     1  0.001128070  51.94761
3261                   3338     4  0.004512279  51.95212
3262                   3339     4  0.004512279  51.95664
3263                   3340     2  0.002256140  51.95889
3264                   3341     2  0.002256140  51.96115
3265                   3342     6  0.006768419  51.96792
3266                   3343     5  0.005640349  51.97356
3267                   3345     4  0.004512279  51.97807
3268                   3346     1  0.001128070  51.97920
3269                   3347     5  0.005640349  51.98484
3270                   3348     5  0.005640349  51.99048
3271                   3350     2  0.002256140  51.99274
3272                   3351     5  0.005640349  51.99838
3273                   3352     1  0.001128070  51.99950
3274                   3353     6  0.006768419  52.00627
3275                   3354     3  0.003384209  52.00966
3276                   3355     8  0.009024558  52.01868
3277                   3356     2  0.002256140  52.02094
3278                   3357     6  0.006768419  52.02771
3279                   3358     2  0.002256140  52.02996
3280                   3359     4  0.004512279  52.03447
3281                   3360     3  0.003384209  52.03786
3282                   3361     6  0.006768419  52.04463
3283                   3362     2  0.002256140  52.04688
3284                   3363     3  0.003384209  52.05027
3285                   3364     3  0.003384209  52.05365
3286                   3365     2  0.002256140  52.05591
3287                   3366     3  0.003384209  52.05929
3288                   3367     7  0.007896488  52.06719
3289                   3368     3  0.003384209  52.07057
3290                   3369     6  0.006768419  52.07734
3291                   3370     7  0.007896488  52.08524
3292                   3371     1  0.001128070  52.08637
3293                   3372     3  0.003384209  52.08975
3294                   3373     2  0.002256140  52.09201
3295                   3374     4  0.004512279  52.09652
3296                   3375     5  0.005640349  52.10216
3297                   3376     7  0.007896488  52.11005
3298                   3377     4  0.004512279  52.11457
3299                   3378     4  0.004512279  52.11908
3300                   3379     1  0.001128070  52.12021
3301                   3380     3  0.003384209  52.12359
3302                   3381     6  0.006768419  52.13036
3303                   3382     9  0.010152628  52.14051
3304                   3383     6  0.006768419  52.14728
3305                   3384     6  0.006768419  52.15405
3306                   3385     7  0.007896488  52.16195
3307                   3386     4  0.004512279  52.16646
3308                   3387     5  0.005640349  52.17210
3309                   3388     1  0.001128070  52.17323
3310                   3389     8  0.009024558  52.18225
3311                   3390     4  0.004512279  52.18676
3312                   3391     5  0.005640349  52.19240
3313                   3392     2  0.002256140  52.19466
3314                   3393     1  0.001128070  52.19579
3315                   3394     3  0.003384209  52.19917
3316                   3395     3  0.003384209  52.20256
3317                   3396     7  0.007896488  52.21045
3318                   3397     1  0.001128070  52.21158
3319                   3398     6  0.006768419  52.21835
3320                   3399     2  0.002256140  52.22061
3321                   3400     5  0.005640349  52.22625
3322                   3401     8  0.009024558  52.23527
3323                   3402     6  0.006768419  52.24204
3324                   3403     3  0.003384209  52.24542
3325                   3404     2  0.002256140  52.24768
3326                   3405     5  0.005640349  52.25332
3327                   3406     3  0.003384209  52.25670
3328                   3407     6  0.006768419  52.26347
3329                   3408     2  0.002256140  52.26573
3330                   3409     7  0.007896488  52.27362
3331                   3410     2  0.002256140  52.27588
3332                   3411     1  0.001128070  52.27701
3333                   3412     7  0.007896488  52.28491
3334                   3413     7  0.007896488  52.29280
3335                   3414     6  0.006768419  52.29957
3336                   3415     6  0.006768419  52.30634
3337                   3416     4  0.004512279  52.31085
3338                   3417     4  0.004512279  52.31536
3339                   3418    10  0.011280698  52.32664
3340                   3419     5  0.005640349  52.33228
3341                   3420     4  0.004512279  52.33680
3342                   3421     3  0.003384209  52.34018
3343                   3422     8  0.009024558  52.34921
3344                   3423     7  0.007896488  52.35710
3345                   3424     4  0.004512279  52.36161
3346                   3425     2  0.002256140  52.36387
3347                   3426     5  0.005640349  52.36951
3348                   3427     5  0.005640349  52.37515
3349                   3428     5  0.005640349  52.38079
3350                   3429     5  0.005640349  52.38643
3351                   3430     7  0.007896488  52.39433
3352                   3431     5  0.005640349  52.39997
3353                   3432    30  0.033842093  52.43381
3354                   3433    18  0.020305256  52.45412
3355                   3434     2  0.002256140  52.45637
3356                   3435     1  0.001128070  52.45750
3357                   3436     3  0.003384209  52.46088
3358                   3437     3  0.003384209  52.46427
3359                   3438     8  0.009024558  52.47329
3360                   3439     3  0.003384209  52.47668
3361                   3440     5  0.005640349  52.48232
3362                   3441     3  0.003384209  52.48570
3363                   3442     7  0.007896488  52.49360
3364                   3443    19  0.021433325  52.51503
3365                   3444     2  0.002256140  52.51729
3366                   3445     3  0.003384209  52.52067
3367                   3446     5  0.005640349  52.52631
3368                   3447     2  0.002256140  52.52857
3369                   3448    11  0.012408767  52.54098
3370                   3449     4  0.004512279  52.54549
3371                   3450     3  0.003384209  52.54887
3372                   3451     5  0.005640349  52.55451
3373                   3452    12  0.013536837  52.56805
3374                   3453    10  0.011280698  52.57933
3375                   3454     7  0.007896488  52.58723
3376                   3455     6  0.006768419  52.59400
3377                   3456     6  0.006768419  52.60076
3378                   3457    10  0.011280698  52.61205
3379                   3458     2  0.002256140  52.61430
3380                   3459    14  0.015792977  52.63009
3381                   3460     2  0.002256140  52.63235
3382                   3461     2  0.002256140  52.63461
3383                   3462     2  0.002256140  52.63686
3384                   3463     2  0.002256140  52.63912
3385                   3464     2  0.002256140  52.64138
3386                   3465     8  0.009024558  52.65040
3387                   3466    10  0.011280698  52.66168
3388                   3467     5  0.005640349  52.66732
3389                   3468     8  0.009024558  52.67635
3390                   3469    11  0.012408767  52.68875
3391                   3470     6  0.006768419  52.69552
3392                   3471     3  0.003384209  52.69891
3393                   3473     7  0.007896488  52.70680
3394                   3474     5  0.005640349  52.71244
3395                   3475     2  0.002256140  52.71470
3396                   3476     3  0.003384209  52.71808
3397                   3477     9  0.010152628  52.72824
3398                   3478     3  0.003384209  52.73162
3399                   3479     4  0.004512279  52.73613
3400                   3480     6  0.006768419  52.74290
3401                   3481     2  0.002256140  52.74516
3402                   3482     3  0.003384209  52.74854
3403                   3483     3  0.003384209  52.75193
3404                   3484     1  0.001128070  52.75305
3405                   3485     2  0.002256140  52.75531
3406                   3486     2  0.002256140  52.75757
3407                   3487     4  0.004512279  52.76208
3408                   3488     2  0.002256140  52.76433
3409                   3489     8  0.009024558  52.77336
3410                   3490    36  0.040610511  52.81397
3411                   3491    12  0.013536837  52.82751
3412                   3492     3  0.003384209  52.83089
3413                   3493     8  0.009024558  52.83992
3414                   3494     5  0.005640349  52.84556
3415                   3495    10  0.011280698  52.85684
3416                   3496     5  0.005640349  52.86248
3417                   3497     6  0.006768419  52.86925
3418                   3498     2  0.002256140  52.87150
3419                   3499    11  0.012408767  52.88391
3420                   3500     1  0.001128070  52.88504
3421                   3501     6  0.006768419  52.89181
3422                   3502     3  0.003384209  52.89519
3423                   3503     5  0.005640349  52.90083
3424                   3504    10  0.011280698  52.91211
3425                   3505     5  0.005640349  52.91775
3426                   3506     8  0.009024558  52.92678
3427                   3507    11  0.012408767  52.93919
3428                   3508     2  0.002256140  52.94144
3429                   3509     1  0.001128070  52.94257
3430                   3510     3  0.003384209  52.94595
3431                   3511     9  0.010152628  52.95611
3432                   3512     5  0.005640349  52.96175
3433                   3513     8  0.009024558  52.97077
3434                   3514     8  0.009024558  52.97980
3435                   3515     5  0.005640349  52.98544
3436                   3516     4  0.004512279  52.98995
3437                   3517    14  0.015792977  53.00574
3438                   3518     9  0.010152628  53.01589
3439                   3519    22  0.024817535  53.04071
3440                   3520     5  0.005640349  53.04635
3441                   3521     5  0.005640349  53.05199
3442                   3522     8  0.009024558  53.06102
3443                   3523     3  0.003384209  53.06440
3444                   3524     8  0.009024558  53.07343
3445                   3525    11  0.012408767  53.08583
3446                   3526     7  0.007896488  53.09373
3447                   3527     8  0.009024558  53.10276
3448                   3528     2  0.002256140  53.10501
3449                   3529     2  0.002256140  53.10727
3450                   3530     3  0.003384209  53.11065
3451                   3532     3  0.003384209  53.11404
3452                   3533     3  0.003384209  53.11742
3453                   3534     4  0.004512279  53.12193
3454                   3535     5  0.005640349  53.12757
3455                   3537     7  0.007896488  53.13547
3456                   3538     4  0.004512279  53.13998
3457                   3539     3  0.003384209  53.14337
3458                   3540     4  0.004512279  53.14788
3459                   3541     2  0.002256140  53.15013
3460                   3542     1  0.001128070  53.15126
3461                   3543     5  0.005640349  53.15690
3462                   3544    20  0.022561395  53.17946
3463                   3545    28  0.031585953  53.21105
3464                   3546    10  0.011280698  53.22233
3465                   3547     4  0.004512279  53.22684
3466                   3548     5  0.005640349  53.23248
3467                   3549     6  0.006768419  53.23925
3468                   3550     6  0.006768419  53.24602
3469                   3551     7  0.007896488  53.25392
3470                   3552     7  0.007896488  53.26181
3471                   3553     4  0.004512279  53.26633
3472                   3554     3  0.003384209  53.26971
3473                   3555     4  0.004512279  53.27422
3474                   3556     6  0.006768419  53.28099
3475                   3557     3  0.003384209  53.28438
3476                   3558     6  0.006768419  53.29114
3477                   3559     5  0.005640349  53.29678
3478                   3561     2  0.002256140  53.29904
3479                   3562     4  0.004512279  53.30355
3480                   3563     3  0.003384209  53.30694
3481                   3564     1  0.001128070  53.30806
3482                   3565     2  0.002256140  53.31032
3483                   3566     1  0.001128070  53.31145
3484                   3567     2  0.002256140  53.31370
3485                   3568     4  0.004512279  53.31822
3486                   3569     6  0.006768419  53.32499
3487                   3570     9  0.010152628  53.33514
3488                   3571     2  0.002256140  53.33739
3489                   3572     4  0.004512279  53.34191
3490                   3573     5  0.005640349  53.34755
3491                   3574     1  0.001128070  53.34868
3492                   3575     3  0.003384209  53.35206
3493                   3576     6  0.006768419  53.35883
3494                   3577    10  0.011280698  53.37011
3495                   3578     4  0.004512279  53.37462
3496                   3579     5  0.005640349  53.38026
3497                   3580     5  0.005640349  53.38590
3498                   3581     5  0.005640349  53.39154
3499                   3582     3  0.003384209  53.39493
3500                   3583     4  0.004512279  53.39944
3501                   3584     4  0.004512279  53.40395
3502                   3585     5  0.005640349  53.40959
3503                   3586    14  0.015792977  53.42538
3504                   3587     6  0.006768419  53.43215
3505                   3588     5  0.005640349  53.43779
3506                   3589     7  0.007896488  53.44569
3507                   3590    15  0.016921046  53.46261
3508                   3591     9  0.010152628  53.47276
3509                   3592     3  0.003384209  53.47615
3510                   3593     3  0.003384209  53.47953
3511                   3594     4  0.004512279  53.48404
3512                   3595    37  0.041738581  53.52578
3513                   3596    30  0.033842093  53.55962
3514                   3597     4  0.004512279  53.56414
3515                   3598     7  0.007896488  53.57203
3516                   3599     6  0.006768419  53.57880
3517                   3600     9  0.010152628  53.58895
3518                   3601     1  0.001128070  53.59008
3519                   3602     5  0.005640349  53.59572
3520                   3603     4  0.004512279  53.60023
3521                   3604     6  0.006768419  53.60700
3522                   3605     3  0.003384209  53.61039
3523                   3606     8  0.009024558  53.61941
3524                   3607     1  0.001128070  53.62054
3525                   3608     4  0.004512279  53.62505
3526                   3609     3  0.003384209  53.62844
3527                   3610     8  0.009024558  53.63746
3528                   3611     3  0.003384209  53.64085
3529                   3612     8  0.009024558  53.64987
3530                   3613     6  0.006768419  53.65664
3531                   3614     3  0.003384209  53.66002
3532                   3615     2  0.002256140  53.66228
3533                   3616    13  0.014664907  53.67694
3534                   3617     5  0.005640349  53.68258
3535                   3618     6  0.006768419  53.68935
3536                   3619     7  0.007896488  53.69725
3537                   3620     8  0.009024558  53.70627
3538                   3621     3  0.003384209  53.70966
3539                   3622    16  0.018049116  53.72771
3540                   3623     3  0.003384209  53.73109
3541                   3624    11  0.012408767  53.74350
3542                   3625     1  0.001128070  53.74463
3543                   3626     1  0.001128070  53.74576
3544                   3627     7  0.007896488  53.75365
3545                   3628     4  0.004512279  53.75816
3546                   3629     1  0.001128070  53.75929
3547                   3630     7  0.007896488  53.76719
3548                   3631     5  0.005640349  53.77283
3549                   3633     3  0.003384209  53.77621
3550                   3634     3  0.003384209  53.77960
3551                   3635     8  0.009024558  53.78862
3552                   3636    10  0.011280698  53.79990
3553                   3637     2  0.002256140  53.80216
3554                   3638     2  0.002256140  53.80442
3555                   3639     6  0.006768419  53.81118
3556                   3640     3  0.003384209  53.81457
3557                   3641     8  0.009024558  53.82359
3558                   3642     5  0.005640349  53.82923
3559                   3643     4  0.004512279  53.83375
3560                   3644    16  0.018049116  53.85179
3561                   3645     4  0.004512279  53.85631
3562                   3646     4  0.004512279  53.86082
3563                   3647     5  0.005640349  53.86646
3564                   3648     4  0.004512279  53.87097
3565                   3649     3  0.003384209  53.87436
3566                   3650     4  0.004512279  53.87887
3567                   3651     1  0.001128070  53.88000
3568                   3652     2  0.002256140  53.88225
3569                   3653     3  0.003384209  53.88564
3570                   3654    10  0.011280698  53.89692
3571                   3655     1  0.001128070  53.89805
3572                   3656     3  0.003384209  53.90143
3573                   3657    10  0.011280698  53.91271
3574                   3658     2  0.002256140  53.91497
3575                   3659     6  0.006768419  53.92173
3576                   3660    13  0.014664907  53.93640
3577                   3661     7  0.007896488  53.94430
3578                   3662    13  0.014664907  53.95896
3579                   3663    18  0.020305256  53.97927
3580                   3664     3  0.003384209  53.98265
3581                   3665     3  0.003384209  53.98603
3582                   3666     6  0.006768419  53.99280
3583                   3667     5  0.005640349  53.99844
3584                   3668     5  0.005640349  54.00408
3585                   3669     9  0.010152628  54.01424
3586                   3670     4  0.004512279  54.01875
3587                   3671     7  0.007896488  54.02665
3588                   3672     2  0.002256140  54.02890
3589                   3673     3  0.003384209  54.03229
3590                   3674     1  0.001128070  54.03341
3591                   3676     5  0.005640349  54.03905
3592                   3677     2  0.002256140  54.04131
3593                   3678     4  0.004512279  54.04582
3594                   3679     4  0.004512279  54.05033
3595                   3680    10  0.011280698  54.06162
3596                   3681     4  0.004512279  54.06613
3597                   3682     5  0.005640349  54.07177
3598                   3683     7  0.007896488  54.07966
3599                   3684     2  0.002256140  54.08192
3600                   3685    13  0.014664907  54.09659
3601                   3686     2  0.002256140  54.09884
3602                   3687     5  0.005640349  54.10448
3603                   3688     4  0.004512279  54.10899
3604                   3689     4  0.004512279  54.11351
3605                   3690     3  0.003384209  54.11689
3606                   3691     4  0.004512279  54.12140
3607                   3692     6  0.006768419  54.12817
3608                   3693     3  0.003384209  54.13156
3609                   3694     3  0.003384209  54.13494
3610                   3695     3  0.003384209  54.13832
3611                   3696     7  0.007896488  54.14622
3612                   3697     6  0.006768419  54.15299
3613                   3698     6  0.006768419  54.15976
3614                   3699     2  0.002256140  54.16201
3615                   3700     6  0.006768419  54.16878
3616                   3701     5  0.005640349  54.17442
3617                   3702     2  0.002256140  54.17668
3618                   3703     3  0.003384209  54.18006
3619                   3704     4  0.004512279  54.18457
3620                   3705     3  0.003384209  54.18796
3621                   3706    10  0.011280698  54.19924
3622                   3707     8  0.009024558  54.20826
3623                   3708     3  0.003384209  54.21165
3624                   3709     8  0.009024558  54.22067
3625                   3710     8  0.009024558  54.22970
3626                   3711     3  0.003384209  54.23308
3627                   3712     4  0.004512279  54.23759
3628                   3713     4  0.004512279  54.24211
3629                   3714     1  0.001128070  54.24323
3630                   3715     2  0.002256140  54.24549
3631                   3716     4  0.004512279  54.25000
3632                   3717     7  0.007896488  54.25790
3633                   3718     1  0.001128070  54.25903
3634                   3719     2  0.002256140  54.26128
3635                   3720     2  0.002256140  54.26354
3636                   3721     3  0.003384209  54.26692
3637                   3722     3  0.003384209  54.27031
3638                   3723     1  0.001128070  54.27144
3639                   3724     4  0.004512279  54.27595
3640                   3725     3  0.003384209  54.27933
3641                   3726     2  0.002256140  54.28159
3642                   3727     2  0.002256140  54.28384
3643                   3728     9  0.010152628  54.29400
3644                   3729     2  0.002256140  54.29625
3645                   3730     2  0.002256140  54.29851
3646                   3731     5  0.005640349  54.30415
3647                   3732     3  0.003384209  54.30753
3648                   3733     4  0.004512279  54.31205
3649                   3734     4  0.004512279  54.31656
3650                   3735     5  0.005640349  54.32220
3651                   3736    11  0.012408767  54.33461
3652                   3737     8  0.009024558  54.34363
3653                   3738     7  0.007896488  54.35153
3654                   3739     1  0.001128070  54.35266
3655                   3740    10  0.011280698  54.36394
3656                   3741     3  0.003384209  54.36732
3657                   3742    14  0.015792977  54.38312
3658                   3743     2  0.002256140  54.38537
3659                   3744     3  0.003384209  54.38876
3660                   3745     3  0.003384209  54.39214
3661                   3746     3  0.003384209  54.39552
3662                   3747     4  0.004512279  54.40004
3663                   3748     1  0.001128070  54.40116
3664                   3749     2  0.002256140  54.40342
3665                   3750     2  0.002256140  54.40568
3666                   3752     6  0.006768419  54.41244
3667                   3753     4  0.004512279  54.41696
3668                   3754     2  0.002256140  54.41921
3669                   3755     2  0.002256140  54.42147
3670                   3756     6  0.006768419  54.42824
3671                   3758    12  0.013536837  54.44177
3672                   3759     6  0.006768419  54.44854
3673                   3761    31  0.034970163  54.48351
3674                   3762     3  0.003384209  54.48690
3675                   3763     5  0.005640349  54.49254
3676                   3764     4  0.004512279  54.49705
3677                   3765     6  0.006768419  54.50382
3678                   3766     9  0.010152628  54.51397
3679                   3768     6  0.006768419  54.52074
3680                   3769     6  0.006768419  54.52751
3681                   3770     1  0.001128070  54.52864
3682                   3771     1  0.001128070  54.52976
3683                   3772     6  0.006768419  54.53653
3684                   3773     4  0.004512279  54.54104
3685                   3774     2  0.002256140  54.54330
3686                   3775     6  0.006768419  54.55007
3687                   3776     6  0.006768419  54.55684
3688                   3777    14  0.015792977  54.57263
3689                   3778     1  0.001128070  54.57376
3690                   3779     2  0.002256140  54.57601
3691                   3780     3  0.003384209  54.57940
3692                   3781     4  0.004512279  54.58391
3693                   3782     4  0.004512279  54.58842
3694                   3783     4  0.004512279  54.59294
3695                   3784     3  0.003384209  54.59632
3696                   3785     4  0.004512279  54.60083
3697                   3786     8  0.009024558  54.60986
3698                   3787     8  0.009024558  54.61888
3699                   3788    11  0.012408767  54.63129
3700                   3789     5  0.005640349  54.63693
3701                   3790     2  0.002256140  54.63919
3702                   3791     5  0.005640349  54.64483
3703                   3792     2  0.002256140  54.64708
3704                   3793     5  0.005640349  54.65272
3705                   3794     8  0.009024558  54.66175
3706                   3795    10  0.011280698  54.67303
3707                   3796    15  0.016921046  54.68995
3708                   3797     4  0.004512279  54.69446
3709                   3798     3  0.003384209  54.69785
3710                   3799     6  0.006768419  54.70461
3711                   3800    13  0.014664907  54.71928
3712                   3801     2  0.002256140  54.72154
3713                   3802     2  0.002256140  54.72379
3714                   3803     3  0.003384209  54.72718
3715                   3804    10  0.011280698  54.73846
3716                   3805     5  0.005640349  54.74410
3717                   3806     4  0.004512279  54.74861
3718                   3807     4  0.004512279  54.75312
3719                   3808     4  0.004512279  54.75763
3720                   3810     2  0.002256140  54.75989
3721                   3811     6  0.006768419  54.76666
3722                   3812     6  0.006768419  54.77343
3723                   3813     6  0.006768419  54.78020
3724                   3814    15  0.016921046  54.79712
3725                   3815     3  0.003384209  54.80050
3726                   3816     6  0.006768419  54.80727
3727                   3817     4  0.004512279  54.81178
3728                   3819     1  0.001128070  54.81291
3729                   3820     7  0.007896488  54.82081
3730                   3821     3  0.003384209  54.82419
3731                   3822     8  0.009024558  54.83321
3732                   3823     3  0.003384209  54.83660
3733                   3824    13  0.014664907  54.85126
3734                   3825     2  0.002256140  54.85352
3735                   3826     1  0.001128070  54.85465
3736                   3827     1  0.001128070  54.85578
3737                   3828     3  0.003384209  54.85916
3738                   3829     6  0.006768419  54.86593
3739                   3830     5  0.005640349  54.87157
3740                   3831     7  0.007896488  54.87947
3741                   3832     7  0.007896488  54.88736
3742                   3833     6  0.006768419  54.89413
3743                   3834     2  0.002256140  54.89639
3744                   3835     9  0.010152628  54.90654
3745                   3836     5  0.005640349  54.91218
3746                   3837     3  0.003384209  54.91556
3747                   3838     4  0.004512279  54.92008
3748                   3839     5  0.005640349  54.92572
3749                   3840     7  0.007896488  54.93361
3750                   3841     5  0.005640349  54.93925
3751                   3842    10  0.011280698  54.95053
3752                   3843     4  0.004512279  54.95505
3753                   3844     5  0.005640349  54.96069
3754                   3845     3  0.003384209  54.96407
3755                   3846     1  0.001128070  54.96520
3756                   3848     5  0.005640349  54.97084
3757                   3849    20  0.022561395  54.99340
3758                   3850    28  0.031585953  55.02499
3759                   3851     6  0.006768419  55.03176
3760                   3852    11  0.012408767  55.04416
3761                   3853     4  0.004512279  55.04868
3762                   3854     2  0.002256140  55.05093
3763                   3855     5  0.005640349  55.05657
3764                   3856     2  0.002256140  55.05883
3765                   3857     9  0.010152628  55.06898
3766                   3858     9  0.010152628  55.07913
3767                   3859     6  0.006768419  55.08590
3768                   3860     3  0.003384209  55.08929
3769                   3861     5  0.005640349  55.09493
3770                   3862     4  0.004512279  55.09944
3771                   3863     2  0.002256140  55.10170
3772                   3864     2  0.002256140  55.10395
3773                   3865     4  0.004512279  55.10846
3774                   3866     6  0.006768419  55.11523
3775                   3867     8  0.009024558  55.12426
3776                   3868     2  0.002256140  55.12651
3777                   3869     3  0.003384209  55.12990
3778                   3870     1  0.001128070  55.13103
3779                   3871     5  0.005640349  55.13667
3780                   3872     2  0.002256140  55.13892
3781                   3873     9  0.010152628  55.14907
3782                   3875     1  0.001128070  55.15020
3783                   3876     3  0.003384209  55.15359
3784                   3877     8  0.009024558  55.16261
3785                   3878     6  0.006768419  55.16938
3786                   3879     6  0.006768419  55.17615
3787                   3880     5  0.005640349  55.18179
3788                   3881     7  0.007896488  55.18968
3789                   3882     5  0.005640349  55.19533
3790                   3883     4  0.004512279  55.19984
3791                   3884     8  0.009024558  55.20886
3792                   3885     6  0.006768419  55.21563
3793                   3886     4  0.004512279  55.22014
3794                   3887     4  0.004512279  55.22466
3795                   3888    13  0.014664907  55.23932
3796                   3889     6  0.006768419  55.24609
3797                   3890     7  0.007896488  55.25398
3798                   3891    10  0.011280698  55.26527
3799                   3892     5  0.005640349  55.27091
3800                   3893     3  0.003384209  55.27429
3801                   3894     8  0.009024558  55.28331
3802                   3895     1  0.001128070  55.28444
3803                   3896     2  0.002256140  55.28670
3804                   3898     1  0.001128070  55.28783
3805                   3899     7  0.007896488  55.29572
3806                   3900     3  0.003384209  55.29911
3807                   3901     2  0.002256140  55.30136
3808                   3902     5  0.005640349  55.30700
3809                   3903     5  0.005640349  55.31264
3810                   3904     3  0.003384209  55.31603
3811                   3905     3  0.003384209  55.31941
3812                   3906     9  0.010152628  55.32957
3813                   3907     4  0.004512279  55.33408
3814                   3908     6  0.006768419  55.34085
3815                   3909     2  0.002256140  55.34310
3816                   3910     5  0.005640349  55.34874
3817                   3911     3  0.003384209  55.35213
3818                   3912     4  0.004512279  55.35664
3819                   3913    13  0.014664907  55.37130
3820                   3914     3  0.003384209  55.37469
3821                   3915     2  0.002256140  55.37694
3822                   3916     9  0.010152628  55.38710
3823                   3917     4  0.004512279  55.39161
3824                   3918    12  0.013536837  55.40515
3825                   3919     2  0.002256140  55.40740
3826                   3920     2  0.002256140  55.40966
3827                   3921     2  0.002256140  55.41191
3828                   3922     6  0.006768419  55.41868
3829                   3923     4  0.004512279  55.42320
3830                   3924     5  0.005640349  55.42884
3831                   3925     5  0.005640349  55.43448
3832                   3926     3  0.003384209  55.43786
3833                   3927     3  0.003384209  55.44124
3834                   3928     3  0.003384209  55.44463
3835                   3929     7  0.007896488  55.45253
3836                   3930     4  0.004512279  55.45704
3837                   3932     9  0.010152628  55.46719
3838                   3933     4  0.004512279  55.47170
3839                   3934     4  0.004512279  55.47621
3840                   3935     2  0.002256140  55.47847
3841                   3936     2  0.002256140  55.48073
3842                   3938     4  0.004512279  55.48524
3843                   3939     3  0.003384209  55.48862
3844                   3941     2  0.002256140  55.49088
3845                   3942     5  0.005640349  55.49652
3846                   3943     9  0.010152628  55.50667
3847                   3944     3  0.003384209  55.51006
3848                   3945     5  0.005640349  55.51570
3849                   3946     2  0.002256140  55.51795
3850                   3947     3  0.003384209  55.52134
3851                   3948     3  0.003384209  55.52472
3852                   3949     2  0.002256140  55.52698
3853                   3950     2  0.002256140  55.52923
3854                   3951     5  0.005640349  55.53487
3855                   3953     2  0.002256140  55.53713
3856                   3954    12  0.013536837  55.55067
3857                   3955     5  0.005640349  55.55631
3858                   3956     3  0.003384209  55.55969
3859                   3957     5  0.005640349  55.56533
3860                   3958     2  0.002256140  55.56759
3861                   3959     7  0.007896488  55.57548
3862                   3960     3  0.003384209  55.57887
3863                   3961     4  0.004512279  55.58338
3864                   3962     9  0.010152628  55.59353
3865                   3963     4  0.004512279  55.59805
3866                   3964     6  0.006768419  55.60481
3867                   3965     4  0.004512279  55.60933
3868                   3966     8  0.009024558  55.61835
3869                   3967     2  0.002256140  55.62061
3870                   3968     2  0.002256140  55.62286
3871                   3969     3  0.003384209  55.62625
3872                   3970     3  0.003384209  55.62963
3873                   3971     4  0.004512279  55.63414
3874                   3972    10  0.011280698  55.64543
3875                   3973     4  0.004512279  55.64994
3876                   3974     5  0.005640349  55.65558
3877                   3975     9  0.010152628  55.66573
3878                   3976     4  0.004512279  55.67024
3879                   3977    13  0.014664907  55.68491
3880                   3978    13  0.014664907  55.69957
3881                   3979     9  0.010152628  55.70973
3882                   3980    12  0.013536837  55.72326
3883                   3981     4  0.004512279  55.72777
3884                   3982     2  0.002256140  55.73003
3885                   3983     8  0.009024558  55.73905
3886                   3984     6  0.006768419  55.74582
3887                   3985     4  0.004512279  55.75034
3888                   3986     6  0.006768419  55.75710
3889                   3987     1  0.001128070  55.75823
3890                   3988     6  0.006768419  55.76500
3891                   3989     4  0.004512279  55.76951
3892                   3990     3  0.003384209  55.77290
3893                   3991     4  0.004512279  55.77741
3894                   3992     5  0.005640349  55.78305
3895                   3993     2  0.002256140  55.78531
3896                   3995     6  0.006768419  55.79207
3897                   3996     5  0.005640349  55.79771
3898                   3997     1  0.001128070  55.79884
3899                   3998     4  0.004512279  55.80335
3900                   3999     3  0.003384209  55.80674
3901                   4000     4  0.004512279  55.81125
3902                   4002     1  0.001128070  55.81238
3903                   4003     2  0.002256140  55.81464
3904                   4004     3  0.003384209  55.81802
3905                   4005     5  0.005640349  55.82366
3906                   4006     3  0.003384209  55.82704
3907                   4007     3  0.003384209  55.83043
3908                   4008     3  0.003384209  55.83381
3909                   4009     4  0.004512279  55.83833
3910                   4010     4  0.004512279  55.84284
3911                   4011     1  0.001128070  55.84397
3912                   4012     3  0.003384209  55.84735
3913                   4013     4  0.004512279  55.85186
3914                   4014     1  0.001128070  55.85299
3915                   4015     1  0.001128070  55.85412
3916                   4016     6  0.006768419  55.86089
3917                   4017     5  0.005640349  55.86653
3918                   4018     4  0.004512279  55.87104
3919                   4019     3  0.003384209  55.87442
3920                   4020     4  0.004512279  55.87894
3921                   4021     5  0.005640349  55.88458
3922                   4022     5  0.005640349  55.89022
3923                   4023     8  0.009024558  55.89924
3924                   4024     6  0.006768419  55.90601
3925                   4025     4  0.004512279  55.91052
3926                   4026     9  0.010152628  55.92067
3927                   4027     3  0.003384209  55.92406
3928                   4028     1  0.001128070  55.92519
3929                   4029     4  0.004512279  55.92970
3930                   4030     2  0.002256140  55.93195
3931                   4031     6  0.006768419  55.93872
3932                   4032     3  0.003384209  55.94211
3933                   4033     2  0.002256140  55.94436
3934                   4034     6  0.006768419  55.95113
3935                   4035     5  0.005640349  55.95677
3936                   4036     3  0.003384209  55.96016
3937                   4037     4  0.004512279  55.96467
3938                   4038    12  0.013536837  55.97821
3939                   4039     3  0.003384209  55.98159
3940                   4040     2  0.002256140  55.98385
3941                   4041     5  0.005640349  55.98949
3942                   4042     7  0.007896488  55.99738
3943                   4043     4  0.004512279  56.00190
3944                   4044    10  0.011280698  56.01318
3945                   4045     6  0.006768419  56.01994
3946                   4046     5  0.005640349  56.02558
3947                   4047     3  0.003384209  56.02897
3948                   4048     3  0.003384209  56.03235
3949                   4049     8  0.009024558  56.04138
3950                   4050     4  0.004512279  56.04589
3951                   4051     5  0.005640349  56.05153
3952                   4052     3  0.003384209  56.05491
3953                   4053     1  0.001128070  56.05604
3954                   4054     4  0.004512279  56.06055
3955                   4055     9  0.010152628  56.07071
3956                   4056     5  0.005640349  56.07635
3957                   4057     8  0.009024558  56.08537
3958                   4058     9  0.010152628  56.09552
3959                   4059     4  0.004512279  56.10004
3960                   4060     1  0.001128070  56.10117
3961                   4061     2  0.002256140  56.10342
3962                   4062     9  0.010152628  56.11357
3963                   4063     6  0.006768419  56.12034
3964                   4064    10  0.011280698  56.13162
3965                   4065     2  0.002256140  56.13388
3966                   4066     7  0.007896488  56.14178
3967                   4067     8  0.009024558  56.15080
3968                   4068     5  0.005640349  56.15644
3969                   4069     6  0.006768419  56.16321
3970                   4070     7  0.007896488  56.17111
3971                   4071     4  0.004512279  56.17562
3972                   4072     9  0.010152628  56.18577
3973                   4073     1  0.001128070  56.18690
3974                   4074     6  0.006768419  56.19367
3975                   4075     2  0.002256140  56.19592
3976                   4076     2  0.002256140  56.19818
3977                   4077     3  0.003384209  56.20156
3978                   4078     1  0.001128070  56.20269
3979                   4080     4  0.004512279  56.20720
3980                   4081     8  0.009024558  56.21623
3981                   4082     2  0.002256140  56.21848
3982                   4083     8  0.009024558  56.22751
3983                   4084     7  0.007896488  56.23541
3984                   4085     6  0.006768419  56.24217
3985                   4086     2  0.002256140  56.24443
3986                   4087     5  0.005640349  56.25007
3987                   4088     7  0.007896488  56.25797
3988                   4089     2  0.002256140  56.26022
3989                   4090     5  0.005640349  56.26586
3990                   4091     6  0.006768419  56.27263
3991                   4092     4  0.004512279  56.27714
3992                   4093     6  0.006768419  56.28391
3993                   4094     4  0.004512279  56.28842
3994                   4095     2  0.002256140  56.29068
3995                   4096     4  0.004512279  56.29519
3996                   4097     5  0.005640349  56.30083
3997                   4098     4  0.004512279  56.30535
3998                   4099     4  0.004512279  56.30986
3999                   4100     4  0.004512279  56.31437
4000                   4101     2  0.002256140  56.31663
4001                   4102     4  0.004512279  56.32114
4002                   4103     5  0.005640349  56.32678
4003                   4104    10  0.011280698  56.33806
4004                   4105     8  0.009024558  56.34708
4005                   4106     6  0.006768419  56.35385
4006                   4107     1  0.001128070  56.35498
4007                   4108     6  0.006768419  56.36175
4008                   4109     6  0.006768419  56.36852
4009                   4110     4  0.004512279  56.37303
4010                   4111     2  0.002256140  56.37529
4011                   4112     1  0.001128070  56.37641
4012                   4113     5  0.005640349  56.38205
4013                   4114     2  0.002256140  56.38431
4014                   4115     2  0.002256140  56.38657
4015                   4116     4  0.004512279  56.39108
4016                   4117     5  0.005640349  56.39672
4017                   4118    10  0.011280698  56.40800
4018                   4119     1  0.001128070  56.40913
4019                   4120     4  0.004512279  56.41364
4020                   4121     4  0.004512279  56.41815
4021                   4122     1  0.001128070  56.41928
4022                   4123     5  0.005640349  56.42492
4023                   4124    12  0.013536837  56.43846
4024                   4125     5  0.005640349  56.44410
4025                   4126     7  0.007896488  56.45199
4026                   4127     3  0.003384209  56.45538
4027                   4128     3  0.003384209  56.45876
4028                   4129     3  0.003384209  56.46215
4029                   4130     6  0.006768419  56.46892
4030                   4131     5  0.005640349  56.47456
4031                   4132    11  0.012408767  56.48697
4032                   4133     5  0.005640349  56.49261
4033                   4134     9  0.010152628  56.50276
4034                   4135     1  0.001128070  56.50389
4035                   4136     3  0.003384209  56.50727
4036                   4137     2  0.002256140  56.50953
4037                   4138     3  0.003384209  56.51291
4038                   4139     5  0.005640349  56.51855
4039                   4140    11  0.012408767  56.53096
4040                   4141     6  0.006768419  56.53773
4041                   4142     2  0.002256140  56.53998
4042                   4143     2  0.002256140  56.54224
4043                   4144     2  0.002256140  56.54450
4044                   4145     7  0.007896488  56.55239
4045                   4146     2  0.002256140  56.55465
4046                   4147     4  0.004512279  56.55916
4047                   4148     4  0.004512279  56.56367
4048                   4149     5  0.005640349  56.56931
4049                   4150     5  0.005640349  56.57495
4050                   4151    21  0.023689465  56.59864
4051                   4152    16  0.018049116  56.61669
4052                   4153    14  0.015792977  56.63249
4053                   4154     5  0.005640349  56.63813
4054                   4155     7  0.007896488  56.64602
4055                   4156     3  0.003384209  56.64941
4056                   4157     4  0.004512279  56.65392
4057                   4158     6  0.006768419  56.66069
4058                   4159     5  0.005640349  56.66633
4059                   4160     6  0.006768419  56.67310
4060                   4161     5  0.005640349  56.67874
4061                   4162     4  0.004512279  56.68325
4062                   4163     5  0.005640349  56.68889
4063                   4164     2  0.002256140  56.69115
4064                   4165     3  0.003384209  56.69453
4065                   4166     9  0.010152628  56.70468
4066                   4167     3  0.003384209  56.70807
4067                   4168     4  0.004512279  56.71258
4068                   4169     5  0.005640349  56.71822
4069                   4170     4  0.004512279  56.72273
4070                   4171     6  0.006768419  56.72950
4071                   4172    13  0.014664907  56.74417
4072                   4173     3  0.003384209  56.74755
4073                   4174     7  0.007896488  56.75545
4074                   4175     2  0.002256140  56.75770
4075                   4176     7  0.007896488  56.76560
4076                   4177     2  0.002256140  56.76785
4077                   4178     2  0.002256140  56.77011
4078                   4179     4  0.004512279  56.77462
4079                   4180     4  0.004512279  56.77914
4080                   4181     4  0.004512279  56.78365
4081                   4182     7  0.007896488  56.79154
4082                   4183     6  0.006768419  56.79831
4083                   4184     3  0.003384209  56.80170
4084                   4185    12  0.013536837  56.81523
4085                   4186    14  0.015792977  56.83103
4086                   4187     5  0.005640349  56.83667
4087                   4188     3  0.003384209  56.84005
4088                   4189     4  0.004512279  56.84456
4089                   4190     4  0.004512279  56.84908
4090                   4191     5  0.005640349  56.85472
4091                   4192     4  0.004512279  56.85923
4092                   4193     2  0.002256140  56.86148
4093                   4194     2  0.002256140  56.86374
4094                   4195     3  0.003384209  56.86712
4095                   4196     5  0.005640349  56.87277
4096                   4197     6  0.006768419  56.87953
4097                   4198     2  0.002256140  56.88179
4098                   4199     5  0.005640349  56.88743
4099                   4201     5  0.005640349  56.89307
4100                   4202     4  0.004512279  56.89758
4101                   4203     4  0.004512279  56.90209
4102                   4204     7  0.007896488  56.90999
4103                   4205    12  0.013536837  56.92353
4104                   4206     9  0.010152628  56.93368
4105                   4207     5  0.005640349  56.93932
4106                   4208     4  0.004512279  56.94383
4107                   4210     4  0.004512279  56.94835
4108                   4211     3  0.003384209  56.95173
4109                   4212     4  0.004512279  56.95624
4110                   4213     5  0.005640349  56.96188
4111                   4214     3  0.003384209  56.96527
4112                   4215     9  0.010152628  56.97542
4113                   4216    12  0.013536837  56.98896
4114                   4217     3  0.003384209  56.99234
4115                   4218     5  0.005640349  56.99798
4116                   4219     7  0.007896488  57.00588
4117                   4220     6  0.006768419  57.01265
4118                   4221     3  0.003384209  57.01603
4119                   4222    10  0.011280698  57.02731
4120                   4223     7  0.007896488  57.03521
4121                   4224     6  0.006768419  57.04198
4122                   4225     3  0.003384209  57.04536
4123                   4226     3  0.003384209  57.04874
4124                   4227     2  0.002256140  57.05100
4125                   4228     2  0.002256140  57.05326
4126                   4229     4  0.004512279  57.05777
4127                   4230     7  0.007896488  57.06566
4128                   4231     7  0.007896488  57.07356
4129                   4232     8  0.009024558  57.08259
4130                   4233     5  0.005640349  57.08823
4131                   4234     3  0.003384209  57.09161
4132                   4235     7  0.007896488  57.09951
4133                   4236     6  0.006768419  57.10628
4134                   4237     5  0.005640349  57.11192
4135                   4238     5  0.005640349  57.11756
4136                   4239    17  0.019177186  57.13673
4137                   4240     1  0.001128070  57.13786
4138                   4241     7  0.007896488  57.14576
4139                   4242     1  0.001128070  57.14689
4140                   4243     3  0.003384209  57.15027
4141                   4244     8  0.009024558  57.15929
4142                   4245     4  0.004512279  57.16381
4143                   4246     5  0.005640349  57.16945
4144                   4247     9  0.010152628  57.17960
4145                   4248     4  0.004512279  57.18411
4146                   4249    17  0.019177186  57.20329
4147                   4250     7  0.007896488  57.21119
4148                   4251     7  0.007896488  57.21908
4149                   4252    12  0.013536837  57.23262
4150                   4253     4  0.004512279  57.23713
4151                   4254     4  0.004512279  57.24164
4152                   4255     5  0.005640349  57.24728
4153                   4256     4  0.004512279  57.25180
4154                   4257     1  0.001128070  57.25292
4155                   4258     4  0.004512279  57.25744
4156                   4259     9  0.010152628  57.26759
4157                   4260     5  0.005640349  57.27323
4158                   4262     4  0.004512279  57.27774
4159                   4263     2  0.002256140  57.28000
4160                   4264     4  0.004512279  57.28451
4161                   4265     2  0.002256140  57.28677
4162                   4266     7  0.007896488  57.29466
4163                   4267     5  0.005640349  57.30030
4164                   4268     4  0.004512279  57.30482
4165                   4269    10  0.011280698  57.31610
4166                   4270     5  0.005640349  57.32174
4167                   4271     3  0.003384209  57.32512
4168                   4272     7  0.007896488  57.33302
4169                   4273     6  0.006768419  57.33979
4170                   4274     7  0.007896488  57.34768
4171                   4275     9  0.010152628  57.35784
4172                   4276     2  0.002256140  57.36009
4173                   4277     5  0.005640349  57.36573
4174                   4278     6  0.006768419  57.37250
4175                   4279     4  0.004512279  57.37701
4176                   4280     3  0.003384209  57.38040
4177                   4281     3  0.003384209  57.38378
4178                   4282     9  0.010152628  57.39393
4179                   4283     6  0.006768419  57.40070
4180                   4284     5  0.005640349  57.40634
4181                   4285     7  0.007896488  57.41424
4182                   4287     2  0.002256140  57.41649
4183                   4288     8  0.009024558  57.42552
4184                   4289     7  0.007896488  57.43342
4185                   4290     9  0.010152628  57.44357
4186                   4291     7  0.007896488  57.45146
4187                   4292     3  0.003384209  57.45485
4188                   4293     1  0.001128070  57.45598
4189                   4294     4  0.004512279  57.46049
4190                   4295     1  0.001128070  57.46162
4191                   4296     1  0.001128070  57.46275
4192                   4297     4  0.004512279  57.46726
4193                   4298     5  0.005640349  57.47290
4194                   4299     3  0.003384209  57.47628
4195                   4300     1  0.001128070  57.47741
4196                   4301     4  0.004512279  57.48192
4197                   4302     2  0.002256140  57.48418
4198                   4303     5  0.005640349  57.48982
4199                   4304     6  0.006768419  57.49659
4200                   4305     8  0.009024558  57.50561
4201                   4306     7  0.007896488  57.51351
4202                   4307     4  0.004512279  57.51802
4203                   4308     2  0.002256140  57.52028
4204                   4309     5  0.005640349  57.52592
4205                   4310     4  0.004512279  57.53043
4206                   4311     8  0.009024558  57.53945
4207                   4312    16  0.018049116  57.55750
4208                   4313     4  0.004512279  57.56202
4209                   4314     6  0.006768419  57.56878
4210                   4315     8  0.009024558  57.57781
4211                   4316     4  0.004512279  57.58232
4212                   4318     9  0.010152628  57.59247
4213                   4319     7  0.007896488  57.60037
4214                   4320     4  0.004512279  57.60488
4215                   4321     8  0.009024558  57.61391
4216                   4322     5  0.005640349  57.61955
4217                   4323     2  0.002256140  57.62180
4218                   4324     3  0.003384209  57.62519
4219                   4325     6  0.006768419  57.63196
4220                   4326     3  0.003384209  57.63534
4221                   4327     3  0.003384209  57.63872
4222                   4328     3  0.003384209  57.64211
4223                   4329     2  0.002256140  57.64436
4224                   4330     5  0.005640349  57.65001
4225                   4331     3  0.003384209  57.65339
4226                   4332     5  0.005640349  57.65903
4227                   4333     3  0.003384209  57.66241
4228                   4334     6  0.006768419  57.66918
4229                   4335     6  0.006768419  57.67595
4230                   4336     6  0.006768419  57.68272
4231                   4337     3  0.003384209  57.68610
4232                   4338    10  0.011280698  57.69738
4233                   4339     7  0.007896488  57.70528
4234                   4340     6  0.006768419  57.71205
4235                   4341     6  0.006768419  57.71882
4236                   4342    15  0.016921046  57.73574
4237                   4343     5  0.005640349  57.74138
4238                   4344     4  0.004512279  57.74589
4239                   4345     6  0.006768419  57.75266
4240                   4346     4  0.004512279  57.75717
4241                   4347     4  0.004512279  57.76168
4242                   4348     4  0.004512279  57.76620
4243                   4349    12  0.013536837  57.77973
4244                   4350     6  0.006768419  57.78650
4245                   4351     6  0.006768419  57.79327
4246                   4352     2  0.002256140  57.79553
4247                   4353     6  0.006768419  57.80229
4248                   4354     6  0.006768419  57.80906
4249                   4355     2  0.002256140  57.81132
4250                   4356     5  0.005640349  57.81696
4251                   4357     4  0.004512279  57.82147
4252                   4358     5  0.005640349  57.82711
4253                   4359     5  0.005640349  57.83275
4254                   4361     4  0.004512279  57.83726
4255                   4362     9  0.010152628  57.84742
4256                   4363     5  0.005640349  57.85306
4257                   4364     2  0.002256140  57.85531
4258                   4365     3  0.003384209  57.85870
4259                   4366     4  0.004512279  57.86321
4260                   4367     4  0.004512279  57.86772
4261                   4368     2  0.002256140  57.86998
4262                   4369     3  0.003384209  57.87336
4263                   4370     5  0.005640349  57.87900
4264                   4371     3  0.003384209  57.88239
4265                   4372     7  0.007896488  57.89028
4266                   4373     3  0.003384209  57.89367
4267                   4374     3  0.003384209  57.89705
4268                   4375    30  0.033842093  57.93089
4269                   4376     8  0.009024558  57.93992
4270                   4377     7  0.007896488  57.94782
4271                   4378    11  0.012408767  57.96022
4272                   4379     2  0.002256140  57.96248
4273                   4380     9  0.010152628  57.97263
4274                   4381     4  0.004512279  57.97715
4275                   4382    10  0.011280698  57.98843
4276                   4383     8  0.009024558  57.99745
4277                   4384     1  0.001128070  57.99858
4278                   4386     8  0.009024558  58.00760
4279                   4387     2  0.002256140  58.00986
4280                   4388     5  0.005640349  58.01550
4281                   4389     1  0.001128070  58.01663
4282                   4390     4  0.004512279  58.02114
4283                   4391     4  0.004512279  58.02565
4284                   4392     7  0.007896488  58.03355
4285                   4393     9  0.010152628  58.04370
4286                   4394     5  0.005640349  58.04934
4287                   4395     2  0.002256140  58.05160
4288                   4396     8  0.009024558  58.06062
4289                   4397     9  0.010152628  58.07078
4290                   4398     3  0.003384209  58.07416
4291                   4399     2  0.002256140  58.07642
4292                   4400     3  0.003384209  58.07980
4293                   4401     3  0.003384209  58.08318
4294                   4402     5  0.005640349  58.08882
4295                   4403     9  0.010152628  58.09898
4296                   4404    10  0.011280698  58.11026
4297                   4405     6  0.006768419  58.11703
4298                   4406     2  0.002256140  58.11928
4299                   4407     8  0.009024558  58.12831
4300                   4408     2  0.002256140  58.13056
4301                   4409     4  0.004512279  58.13508
4302                   4410     4  0.004512279  58.13959
4303                   4411     1  0.001128070  58.14072
4304                   4412     5  0.005640349  58.14636
4305                   4413     5  0.005640349  58.15200
4306                   4414     5  0.005640349  58.15764
4307                   4415     5  0.005640349  58.16328
4308                   4416     8  0.009024558  58.17230
4309                   4417     4  0.004512279  58.17681
4310                   4418     5  0.005640349  58.18245
4311                   4419     6  0.006768419  58.18922
4312                   4420     7  0.007896488  58.19712
4313                   4421     5  0.005640349  58.20276
4314                   4422     6  0.006768419  58.20953
4315                   4423     6  0.006768419  58.21630
4316                   4424     4  0.004512279  58.22081
4317                   4425     6  0.006768419  58.22758
4318                   4426     1  0.001128070  58.22870
4319                   4427     2  0.002256140  58.23096
4320                   4428     6  0.006768419  58.23773
4321                   4429     3  0.003384209  58.24111
4322                   4430     5  0.005640349  58.24675
4323                   4431     1  0.001128070  58.24788
4324                   4432     6  0.006768419  58.25465
4325                   4433     4  0.004512279  58.25916
4326                   4434     4  0.004512279  58.26368
4327                   4435     2  0.002256140  58.26593
4328                   4436     6  0.006768419  58.27270
4329                   4437     1  0.001128070  58.27383
4330                   4438     7  0.007896488  58.28172
4331                   4439     9  0.010152628  58.29188
4332                   4440     2  0.002256140  58.29413
4333                   4441     5  0.005640349  58.29977
4334                   4442     5  0.005640349  58.30541
4335                   4443     6  0.006768419  58.31218
4336                   4444     5  0.005640349  58.31782
4337                   4445     2  0.002256140  58.32008
4338                   4446     9  0.010152628  58.33023
4339                   4447     7  0.007896488  58.33813
4340                   4448     6  0.006768419  58.34490
4341                   4449     3  0.003384209  58.34828
4342                   4451    13  0.014664907  58.36295
4343                   4452     5  0.005640349  58.36859
4344                   4453     3  0.003384209  58.37197
4345                   4454     8  0.009024558  58.38099
4346                   4455     8  0.009024558  58.39002
4347                   4456     1  0.001128070  58.39115
4348                   4457     4  0.004512279  58.39566
4349                   4458     4  0.004512279  58.40017
4350                   4459     2  0.002256140  58.40243
4351                   4460     2  0.002256140  58.40468
4352                   4461     6  0.006768419  58.41145
4353                   4463     3  0.003384209  58.41484
4354                   4464     2  0.002256140  58.41709
4355                   4465     5  0.005640349  58.42273
4356                   4466     5  0.005640349  58.42837
4357                   4467     1  0.001128070  58.42950
4358                   4468     5  0.005640349  58.43514
4359                   4469     3  0.003384209  58.43853
4360                   4470     2  0.002256140  58.44078
4361                   4471     1  0.001128070  58.44191
4362                   4472     6  0.006768419  58.44868
4363                   4473     5  0.005640349  58.45432
4364                   4474     6  0.006768419  58.46109
4365                   4475     5  0.005640349  58.46673
4366                   4476     2  0.002256140  58.46898
4367                   4477     6  0.006768419  58.47575
4368                   4478     6  0.006768419  58.48252
4369                   4479     7  0.007896488  58.49042
4370                   4480     7  0.007896488  58.49831
4371                   4481     5  0.005640349  58.50395
4372                   4482     4  0.004512279  58.50847
4373                   4483     5  0.005640349  58.51411
4374                   4484     3  0.003384209  58.51749
4375                   4485     7  0.007896488  58.52539
4376                   4486     5  0.005640349  58.53103
4377                   4487     7  0.007896488  58.53892
4378                   4488     8  0.009024558  58.54795
4379                   4489     1  0.001128070  58.54908
4380                   4490     9  0.010152628  58.55923
4381                   4491     3  0.003384209  58.56261
4382                   4492     4  0.004512279  58.56713
4383                   4493     8  0.009024558  58.57615
4384                   4494    13  0.014664907  58.59082
4385                   4495     7  0.007896488  58.59871
4386                   4496     2  0.002256140  58.60097
4387                   4497     4  0.004512279  58.60548
4388                   4498     4  0.004512279  58.60999
4389                   4499     6  0.006768419  58.61676
4390                   4500     9  0.010152628  58.62691
4391                   4501     5  0.005640349  58.63255
4392                   4502     6  0.006768419  58.63932
4393                   4503     9  0.010152628  58.64947
4394                   4504     4  0.004512279  58.65399
4395                   4506     8  0.009024558  58.66301
4396                   4507     2  0.002256140  58.66527
4397                   4508     9  0.010152628  58.67542
4398                   4509     6  0.006768419  58.68219
4399                   4510     3  0.003384209  58.68557
4400                   4511     7  0.007896488  58.69347
4401                   4512     3  0.003384209  58.69685
4402                   4513    16  0.018049116  58.71490
4403                   4514    42  0.047378930  58.76228
4404                   4515     2  0.002256140  58.76454
4405                   4516     5  0.005640349  58.77018
4406                   4517     3  0.003384209  58.77356
4407                   4518     2  0.002256140  58.77582
4408                   4519     5  0.005640349  58.78146
4409                   4520     6  0.006768419  58.78823
4410                   4521     2  0.002256140  58.79048
4411                   4522     5  0.005640349  58.79612
4412                   4523     8  0.009024558  58.80515
4413                   4524     7  0.007896488  58.81304
4414                   4525    12  0.013536837  58.82658
4415                   4526     4  0.004512279  58.83109
4416                   4527     3  0.003384209  58.83448
4417                   4528     3  0.003384209  58.83786
4418                   4529     6  0.006768419  58.84463
4419                   4530     4  0.004512279  58.84914
4420                   4531     5  0.005640349  58.85478
4421                   4532     3  0.003384209  58.85817
4422                   4533     6  0.006768419  58.86494
4423                   4534     4  0.004512279  58.86945
4424                   4535     3  0.003384209  58.87283
4425                   4536     4  0.004512279  58.87734
4426                   4537     4  0.004512279  58.88186
4427                   4538     8  0.009024558  58.89088
4428                   4539     7  0.007896488  58.89878
4429                   4540    11  0.012408767  58.91119
4430                   4541     3  0.003384209  58.91457
4431                   4542     8  0.009024558  58.92360
4432                   4543     8  0.009024558  58.93262
4433                   4544     8  0.009024558  58.94164
4434                   4545     6  0.006768419  58.94841
4435                   4546     9  0.010152628  58.95857
4436                   4547     2  0.002256140  58.96082
4437                   4548     5  0.005640349  58.96646
4438                   4549     3  0.003384209  58.96985
4439                   4550     3  0.003384209  58.97323
4440                   4551     6  0.006768419  58.98000
4441                   4552    11  0.012408767  58.99241
4442                   4553     7  0.007896488  59.00030
4443                   4554     6  0.006768419  59.00707
4444                   4555    13  0.014664907  59.02174
4445                   4556    12  0.013536837  59.03527
4446                   4557     4  0.004512279  59.03979
4447                   4558     5  0.005640349  59.04543
4448                   4559    13  0.014664907  59.06009
4449                   4560    12  0.013536837  59.07363
4450                   4561    16  0.018049116  59.09168
4451                   4562     3  0.003384209  59.09506
4452                   4563     5  0.005640349  59.10070
4453                   4564     6  0.006768419  59.10747
4454                   4565     3  0.003384209  59.11086
4455                   4566     7  0.007896488  59.11875
4456                   4567     5  0.005640349  59.12439
4457                   4568     7  0.007896488  59.13229
4458                   4570     3  0.003384209  59.13567
4459                   4571     6  0.006768419  59.14244
4460                   4572     8  0.009024558  59.15147
4461                   4573    10  0.011280698  59.16275
4462                   4574     7  0.007896488  59.17064
4463                   4575    11  0.012408767  59.18305
4464                   4576     1  0.001128070  59.18418
4465                   4577    24  0.027073674  59.21125
4466                   4578    10  0.011280698  59.22253
4467                   4579     8  0.009024558  59.23156
4468                   4580     5  0.005640349  59.23720
4469                   4581    11  0.012408767  59.24961
4470                   4582     6  0.006768419  59.25638
4471                   4583     3  0.003384209  59.25976
4472                   4584     6  0.006768419  59.26653
4473                   4585    12  0.013536837  59.28007
4474                   4586     1  0.001128070  59.28119
4475                   4587     7  0.007896488  59.28909
4476                   4588     4  0.004512279  59.29360
4477                   4589     5  0.005640349  59.29924
4478                   4590     5  0.005640349  59.30488
4479                   4591     5  0.005640349  59.31052
4480                   4592    26  0.029329814  59.33985
4481                   4593     6  0.006768419  59.34662
4482                   4594    10  0.011280698  59.35790
4483                   4595     8  0.009024558  59.36693
4484                   4596     1  0.001128070  59.36806
4485                   4597     4  0.004512279  59.37257
4486                   4598     3  0.003384209  59.37595
4487                   4599     5  0.005640349  59.38159
4488                   4600    27  0.030457884  59.41205
4489                   4601     5  0.005640349  59.41769
4490                   4602     6  0.006768419  59.42446
4491                   4603     3  0.003384209  59.42784
4492                   4604     8  0.009024558  59.43687
4493                   4605    11  0.012408767  59.44928
4494                   4606    13  0.014664907  59.46394
4495                   4607     4  0.004512279  59.46845
4496                   4608     6  0.006768419  59.47522
4497                   4609     3  0.003384209  59.47861
4498                   4610     5  0.005640349  59.48425
4499                   4611     4  0.004512279  59.48876
4500                   4612     3  0.003384209  59.49214
4501                   4613     1  0.001128070  59.49327
4502                   4614     4  0.004512279  59.49778
4503                   4615     7  0.007896488  59.50568
4504                   4616     2  0.002256140  59.50794
4505                   4617     8  0.009024558  59.51696
4506                   4618     7  0.007896488  59.52486
4507                   4619     3  0.003384209  59.52824
4508                   4620    14  0.015792977  59.54403
4509                   4621     4  0.004512279  59.54855
4510                   4622     8  0.009024558  59.55757
4511                   4623     8  0.009024558  59.56660
4512                   4624     3  0.003384209  59.56998
4513                   4625     2  0.002256140  59.57224
4514                   4626     3  0.003384209  59.57562
4515                   4627     5  0.005640349  59.58126
4516                   4628     4  0.004512279  59.58577
4517                   4629     7  0.007896488  59.59367
4518                   4630     7  0.007896488  59.60157
4519                   4631     4  0.004512279  59.60608
4520                   4633     7  0.007896488  59.61397
4521                   4634     7  0.007896488  59.62187
4522                   4635    11  0.012408767  59.63428
4523                   4636    10  0.011280698  59.64556
4524                   4637    10  0.011280698  59.65684
4525                   4638     3  0.003384209  59.66023
4526                   4639     1  0.001128070  59.66135
4527                   4640     8  0.009024558  59.67038
4528                   4641     5  0.005640349  59.67602
4529                   4642    10  0.011280698  59.68730
4530                   4643     4  0.004512279  59.69181
4531                   4644     1  0.001128070  59.69294
4532                   4645    14  0.015792977  59.70873
4533                   4647     5  0.005640349  59.71437
4534                   4648     6  0.006768419  59.72114
4535                   4649     6  0.006768419  59.72791
4536                   4650     4  0.004512279  59.73242
4537                   4651     3  0.003384209  59.73581
4538                   4652     8  0.009024558  59.74483
4539                   4653     3  0.003384209  59.74821
4540                   4654    10  0.011280698  59.75950
4541                   4655     5  0.005640349  59.76514
4542                   4656    18  0.020305256  59.78544
4543                   4657    17  0.019177186  59.80462
4544                   4658    20  0.022561395  59.82718
4545                   4659     1  0.001128070  59.82831
4546                   4660     4  0.004512279  59.83282
4547                   4661     5  0.005640349  59.83846
4548                   4662     5  0.005640349  59.84410
4549                   4663     4  0.004512279  59.84861
4550                   4664     7  0.007896488  59.85651
4551                   4665     3  0.003384209  59.85989
4552                   4666     2  0.002256140  59.86215
4553                   4667     3  0.003384209  59.86553
4554                   4668     4  0.004512279  59.87005
4555                   4669     8  0.009024558  59.87907
4556                   4670     6  0.006768419  59.88584
4557                   4671     3  0.003384209  59.88922
4558                   4672     4  0.004512279  59.89374
4559                   4673     5  0.005640349  59.89938
4560                   4674     4  0.004512279  59.90389
4561                   4675     5  0.005640349  59.90953
4562                   4676     5  0.005640349  59.91517
4563                   4677     3  0.003384209  59.91855
4564                   4678     6  0.006768419  59.92532
4565                   4679     6  0.006768419  59.93209
4566                   4681     2  0.002256140  59.93435
4567                   4682     7  0.007896488  59.94224
4568                   4683     6  0.006768419  59.94901
4569                   4684     5  0.005640349  59.95465
4570                   4685     4  0.004512279  59.95916
4571                   4686     3  0.003384209  59.96255
4572                   4687     3  0.003384209  59.96593
4573                   4688     1  0.001128070  59.96706
4574                   4689    11  0.012408767  59.97947
4575                   4690    27  0.030457884  60.00993
4576                   4691     7  0.007896488  60.01782
4577                   4692     5  0.005640349  60.02346
4578                   4693     4  0.004512279  60.02798
4579                   4694     5  0.005640349  60.03362
4580                   4695     2  0.002256140  60.03587
4581                   4696     4  0.004512279  60.04038
4582                   4697     4  0.004512279  60.04490
4583                   4698     3  0.003384209  60.04828
4584                   4699     2  0.002256140  60.05054
4585                   4700     4  0.004512279  60.05505
4586                   4701     4  0.004512279  60.05956
4587                   4702     5  0.005640349  60.06520
4588                   4703    10  0.011280698  60.07648
4589                   4704     5  0.005640349  60.08212
4590                   4705     1  0.001128070  60.08325
4591                   4706     1  0.001128070  60.08438
4592                   4707     6  0.006768419  60.09115
4593                   4708     6  0.006768419  60.09792
4594                   4709     7  0.007896488  60.10581
4595                   4710     3  0.003384209  60.10920
4596                   4711     9  0.010152628  60.11935
4597                   4712     3  0.003384209  60.12273
4598                   4713     8  0.009024558  60.13176
4599                   4714     3  0.003384209  60.13514
4600                   4715     9  0.010152628  60.14530
4601                   4716     5  0.005640349  60.15094
4602                   4717     7  0.007896488  60.15883
4603                   4718     2  0.002256140  60.16109
4604                   4719     8  0.009024558  60.17011
4605                   4720     3  0.003384209  60.17350
4606                   4721     8  0.009024558  60.18252
4607                   4722     7  0.007896488  60.19042
4608                   4723     6  0.006768419  60.19719
4609                   4724    10  0.011280698  60.20847
4610                   4725     7  0.007896488  60.21636
4611                   4726     5  0.005640349  60.22200
4612                   4727    11  0.012408767  60.23441
4613                   4728     9  0.010152628  60.24457
4614                   4729     6  0.006768419  60.25133
4615                   4730     2  0.002256140  60.25359
4616                   4731     3  0.003384209  60.25697
4617                   4732     4  0.004512279  60.26149
4618                   4733     5  0.005640349  60.26713
4619                   4734     5  0.005640349  60.27277
4620                   4735    12  0.013536837  60.28630
4621                   4736    11  0.012408767  60.29871
4622                   4737    10  0.011280698  60.30999
4623                   4738     4  0.004512279  60.31451
4624                   4739     3  0.003384209  60.31789
4625                   4740    10  0.011280698  60.32917
4626                   4741     5  0.005640349  60.33481
4627                   4742     4  0.004512279  60.33932
4628                   4743     3  0.003384209  60.34271
4629                   4744     8  0.009024558  60.35173
4630                   4745     2  0.002256140  60.35399
4631                   4746     4  0.004512279  60.35850
4632                   4747     3  0.003384209  60.36188
4633                   4748     2  0.002256140  60.36414
4634                   4749     4  0.004512279  60.36865
4635                   4750     4  0.004512279  60.37317
4636                   4751    18  0.020305256  60.39347
4637                   4752     4  0.004512279  60.39798
4638                   4753     6  0.006768419  60.40475
4639                   4754     5  0.005640349  60.41039
4640                   4755     5  0.005640349  60.41603
4641                   4756     5  0.005640349  60.42167
4642                   4757     5  0.005640349  60.42731
4643                   4758     1  0.001128070  60.42844
4644                   4759     3  0.003384209  60.43183
4645                   4760     5  0.005640349  60.43747
4646                   4761     3  0.003384209  60.44085
4647                   4762     4  0.004512279  60.44536
4648                   4763     3  0.003384209  60.44875
4649                   4764     2  0.002256140  60.45100
4650                   4765     3  0.003384209  60.45439
4651                   4766    15  0.016921046  60.47131
4652                   4767     4  0.004512279  60.47582
4653                   4768     9  0.010152628  60.48597
4654                   4769     3  0.003384209  60.48936
4655                   4770    16  0.018049116  60.50741
4656                   4771     8  0.009024558  60.51643
4657                   4772     3  0.003384209  60.51981
4658                   4773     3  0.003384209  60.52320
4659                   4774     3  0.003384209  60.52658
4660                   4775     3  0.003384209  60.52997
4661                   4776     3  0.003384209  60.53335
4662                   4777     1  0.001128070  60.53448
4663                   4778     6  0.006768419  60.54125
4664                   4779     1  0.001128070  60.54238
4665                   4780     8  0.009024558  60.55140
4666                   4781     3  0.003384209  60.55478
4667                   4782     7  0.007896488  60.56268
4668                   4783     6  0.006768419  60.56945
4669                   4784     4  0.004512279  60.57396
4670                   4785     3  0.003384209  60.57735
4671                   4786     5  0.005640349  60.58299
4672                   4787     4  0.004512279  60.58750
4673                   4788    10  0.011280698  60.59878
4674                   4789     8  0.009024558  60.60780
4675                   4790     5  0.005640349  60.61344
4676                   4791     2  0.002256140  60.61570
4677                   4792     7  0.007896488  60.62360
4678                   4793     6  0.006768419  60.63037
4679                   4794    17  0.019177186  60.64954
4680                   4795     4  0.004512279  60.65405
4681                   4796     3  0.003384209  60.65744
4682                   4797     8  0.009024558  60.66646
4683                   4798     9  0.010152628  60.67662
4684                   4799     2  0.002256140  60.67887
4685                   4800     8  0.009024558  60.68790
4686                   4801     2  0.002256140  60.69015
4687                   4802     6  0.006768419  60.69692
4688                   4803     6  0.006768419  60.70369
4689                   4804     4  0.004512279  60.70820
4690                   4805     6  0.006768419  60.71497
4691                   4806     8  0.009024558  60.72400
4692                   4807     5  0.005640349  60.72964
4693                   4808     4  0.004512279  60.73415
4694                   4809     7  0.007896488  60.74204
4695                   4810    14  0.015792977  60.75784
4696                   4811     5  0.005640349  60.76348
4697                   4812     2  0.002256140  60.76573
4698                   4813     6  0.006768419  60.77250
4699                   4814     3  0.003384209  60.77589
4700                   4815     4  0.004512279  60.78040
4701                   4816     5  0.005640349  60.78604
4702                   4817    16  0.018049116  60.80409
4703                   4818    22  0.024817535  60.82891
4704                   4819    49  0.055275418  60.88418
4705                   4820    20  0.022561395  60.90674
4706                   4821     3  0.003384209  60.91013
4707                   4822     5  0.005640349  60.91577
4708                   4823    11  0.012408767  60.92818
4709                   4824     7  0.007896488  60.93607
4710                   4825     6  0.006768419  60.94284
4711                   4826     3  0.003384209  60.94622
4712                   4827     2  0.002256140  60.94848
4713                   4828     2  0.002256140  60.95074
4714                   4829     2  0.002256140  60.95299
4715                   4830     3  0.003384209  60.95638
4716                   4831     5  0.005640349  60.96202
4717                   4832     4  0.004512279  60.96653
4718                   4833     7  0.007896488  60.97443
4719                   4834     1  0.001128070  60.97555
4720                   4835    10  0.011280698  60.98684
4721                   4836     4  0.004512279  60.99135
4722                   4837    12  0.013536837  61.00488
4723                   4838    70  0.078964883  61.08385
4724                   4839     4  0.004512279  61.08836
4725                   4840    34  0.038354372  61.12672
4726                   4841     6  0.006768419  61.13348
4727                   4842     5  0.005640349  61.13912
4728                   4843     4  0.004512279  61.14364
4729                   4844     7  0.007896488  61.15153
4730                   4845     5  0.005640349  61.15717
4731                   4846     4  0.004512279  61.16169
4732                   4847     9  0.010152628  61.17184
4733                   4848    11  0.012408767  61.18425
4734                   4849     6  0.006768419  61.19102
4735                   4850     6  0.006768419  61.19778
4736                   4851     5  0.005640349  61.20342
4737                   4852     4  0.004512279  61.20794
4738                   4853     8  0.009024558  61.21696
4739                   4854     5  0.005640349  61.22260
4740                   4855     2  0.002256140  61.22486
4741                   4856     2  0.002256140  61.22711
4742                   4857     4  0.004512279  61.23163
4743                   4858     7  0.007896488  61.23952
4744                   4859     2  0.002256140  61.24178
4745                   4860     6  0.006768419  61.24855
4746                   4861     4  0.004512279  61.25306
4747                   4862     6  0.006768419  61.25983
4748                   4863     5  0.005640349  61.26547
4749                   4864     2  0.002256140  61.26772
4750                   4865     4  0.004512279  61.27224
4751                   4866     5  0.005640349  61.27788
4752                   4867     6  0.006768419  61.28465
4753                   4868     5  0.005640349  61.29029
4754                   4869     9  0.010152628  61.30044
4755                   4870     4  0.004512279  61.30495
4756                   4871     6  0.006768419  61.31172
4757                   4872     3  0.003384209  61.31510
4758                   4873     3  0.003384209  61.31849
4759                   4874    20  0.022561395  61.34105
4760                   4875     2  0.002256140  61.34331
4761                   4876     8  0.009024558  61.35233
4762                   4877     2  0.002256140  61.35459
4763                   4878     8  0.009024558  61.36361
4764                   4879     6  0.006768419  61.37038
4765                   4880     8  0.009024558  61.37940
4766                   4881     8  0.009024558  61.38843
4767                   4882     3  0.003384209  61.39181
4768                   4883     6  0.006768419  61.39858
4769                   4884     2  0.002256140  61.40084
4770                   4885     3  0.003384209  61.40422
4771                   4886     5  0.005640349  61.40986
4772                   4887     1  0.001128070  61.41099
4773                   4888     6  0.006768419  61.41776
4774                   4889     4  0.004512279  61.42227
4775                   4890     2  0.002256140  61.42453
4776                   4891     3  0.003384209  61.42791
4777                   4892    11  0.012408767  61.44032
4778                   4893    11  0.012408767  61.45273
4779                   4894     3  0.003384209  61.45611
4780                   4895    11  0.012408767  61.46852
4781                   4896     8  0.009024558  61.47755
4782                   4897     7  0.007896488  61.48544
4783                   4898     4  0.004512279  61.48995
4784                   4899     1  0.001128070  61.49108
4785                   4900     6  0.006768419  61.49785
4786                   4901     6  0.006768419  61.50462
4787                   4902     6  0.006768419  61.51139
4788                   4903     3  0.003384209  61.51477
4789                   4904     7  0.007896488  61.52267
4790                   4905     2  0.002256140  61.52492
4791                   4906     8  0.009024558  61.53395
4792                   4907     4  0.004512279  61.53846
4793                   4908     6  0.006768419  61.54523
4794                   4909     7  0.007896488  61.55313
4795                   4910     7  0.007896488  61.56102
4796                   4911     8  0.009024558  61.57005
4797                   4912     2  0.002256140  61.57230
4798                   4913     6  0.006768419  61.57907
4799                   4914     5  0.005640349  61.58471
4800                   4915     3  0.003384209  61.58810
4801                   4916     3  0.003384209  61.59148
4802                   4917     6  0.006768419  61.59825
4803                   4918     2  0.002256140  61.60051
4804                   4919    15  0.016921046  61.61743
4805                   4920     1  0.001128070  61.61855
4806                   4921     6  0.006768419  61.62532
4807                   4922     5  0.005640349  61.63096
4808                   4923     9  0.010152628  61.64112
4809                   4924     7  0.007896488  61.64901
4810                   4925     2  0.002256140  61.65127
4811                   4926    10  0.011280698  61.66255
4812                   4927     5  0.005640349  61.66819
4813                   4928     6  0.006768419  61.67496
4814                   4929    10  0.011280698  61.68624
4815                   4930     9  0.010152628  61.69639
4816                   4931    10  0.011280698  61.70767
4817                   4932     4  0.004512279  61.71218
4818                   4933     7  0.007896488  61.72008
4819                   4934     6  0.006768419  61.72685
4820                   4935     7  0.007896488  61.73475
4821                   4936     9  0.010152628  61.74490
4822                   4937     8  0.009024558  61.75392
4823                   4938    13  0.014664907  61.76859
4824                   4939     5  0.005640349  61.77423
4825                   4940     6  0.006768419  61.78100
4826                   4941     9  0.010152628  61.79115
4827                   4942     8  0.009024558  61.80017
4828                   4943     4  0.004512279  61.80469
4829                   4944     6  0.006768419  61.81145
4830                   4945     8  0.009024558  61.82048
4831                   4946     9  0.010152628  61.83063
4832                   4947     4  0.004512279  61.83514
4833                   4948     3  0.003384209  61.83853
4834                   4949     5  0.005640349  61.84417
4835                   4950     7  0.007896488  61.85206
4836                   4951     8  0.009024558  61.86109
4837                   4952    13  0.014664907  61.87575
4838                   4953     7  0.007896488  61.88365
4839                   4954     7  0.007896488  61.89155
4840                   4955     8  0.009024558  61.90057
4841                   4956     5  0.005640349  61.90621
4842                   4957     5  0.005640349  61.91185
4843                   4958     2  0.002256140  61.91411
4844                   4959     2  0.002256140  61.91636
4845                   4960     2  0.002256140  61.91862
4846                   4961    12  0.013536837  61.93216
4847                   4962     5  0.005640349  61.93780
4848                   4963     7  0.007896488  61.94569
4849                   4964     2  0.002256140  61.94795
4850                   4965     8  0.009024558  61.95698
4851                   4966    11  0.012408767  61.96938
4852                   4967     8  0.009024558  61.97841
4853                   4968     5  0.005640349  61.98405
4854                   4969    13  0.014664907  61.99871
4855                   4970     7  0.007896488  62.00661
4856                   4971     7  0.007896488  62.01451
4857                   4972     4  0.004512279  62.01902
4858                   4973     8  0.009024558  62.02804
4859                   4974     8  0.009024558  62.03707
4860                   4975     4  0.004512279  62.04158
4861                   4976     5  0.005640349  62.04722
4862                   4977     5  0.005640349  62.05286
4863                   4978    34  0.038354372  62.09122
4864                   4979   104  0.117319255  62.20853
4865                   4980    70  0.078964883  62.28750
4866                   4981     6  0.006768419  62.29427
4867                   4982     5  0.005640349  62.29991
4868                   4983     7  0.007896488  62.30781
4869                   4984     6  0.006768419  62.31457
4870                   4985    12  0.013536837  62.32811
4871                   4986     5  0.005640349  62.33375
4872                   4987    12  0.013536837  62.34729
4873                   4988     6  0.006768419  62.35406
4874                   4989     7  0.007896488  62.36195
4875                   4990     4  0.004512279  62.36646
4876                   4991     8  0.009024558  62.37549
4877                   4992     7  0.007896488  62.38339
4878                   4993     7  0.007896488  62.39128
4879                   4994     9  0.010152628  62.40143
4880                   4995     3  0.003384209  62.40482
4881                   4996     6  0.006768419  62.41159
4882                   4997    12  0.013536837  62.42512
4883                   4998     4  0.004512279  62.42964
4884                   4999     4  0.004512279  62.43415
4885                   5000    13  0.014664907  62.44881
4886                   5001     4  0.004512279  62.45333
4887                   5002     2  0.002256140  62.45558
4888                   5003     9  0.010152628  62.46573
4889                   5004     9  0.010152628  62.47589
4890                   5005    10  0.011280698  62.48717
4891                   5006     5  0.005640349  62.49281
4892                   5007     7  0.007896488  62.50071
4893                   5008     6  0.006768419  62.50747
4894                   5009     1  0.001128070  62.50860
4895                   5010     3  0.003384209  62.51199
4896                   5011     7  0.007896488  62.51988
4897                   5012     7  0.007896488  62.52778
4898                   5013     8  0.009024558  62.53680
4899                   5014    11  0.012408767  62.54921
4900                   5015     5  0.005640349  62.55485
4901                   5016     6  0.006768419  62.56162
4902                   5017     7  0.007896488  62.56952
4903                   5018     4  0.004512279  62.57403
4904                   5019     8  0.009024558  62.58305
4905                   5020    12  0.013536837  62.59659
4906                   5021     4  0.004512279  62.60110
4907                   5022     7  0.007896488  62.60900
4908                   5023     4  0.004512279  62.61351
4909                   5024     6  0.006768419  62.62028
4910                   5025     7  0.007896488  62.62818
4911                   5026     3  0.003384209  62.63156
4912                   5027     5  0.005640349  62.63720
4913                   5028     4  0.004512279  62.64171
4914                   5029     4  0.004512279  62.64623
4915                   5030     5  0.005640349  62.65187
4916                   5031     7  0.007896488  62.65976
4917                   5032     6  0.006768419  62.66653
4918                   5033     5  0.005640349  62.67217
4919                   5034     9  0.010152628  62.68232
4920                   5036     6  0.006768419  62.68909
4921                   5037    10  0.011280698  62.70037
4922                   5038     7  0.007896488  62.70827
4923                   5039     5  0.005640349  62.71391
4924                   5040     9  0.010152628  62.72406
4925                   5041    11  0.012408767  62.73647
4926                   5042     5  0.005640349  62.74211
4927                   5043     4  0.004512279  62.74662
4928                   5044     9  0.010152628  62.75678
4929                   5045    12  0.013536837  62.77031
4930                   5046     4  0.004512279  62.77483
4931                   5047     7  0.007896488  62.78272
4932                   5048     3  0.003384209  62.78611
4933                   5049     3  0.003384209  62.78949
4934                   5050    44  0.049635069  62.83913
4935                   5051     4  0.004512279  62.84364
4936                   5052     4  0.004512279  62.84815
4937                   5053     6  0.006768419  62.85492
4938                   5054     3  0.003384209  62.85830
4939                   5055     4  0.004512279  62.86282
4940                   5056     4  0.004512279  62.86733
4941                   5057     4  0.004512279  62.87184
4942                   5058     7  0.007896488  62.87974
4943                   5059     2  0.002256140  62.88199
4944                   5060     4  0.004512279  62.88650
4945                   5061     2  0.002256140  62.88876
4946                   5062     3  0.003384209  62.89215
4947                   5063     3  0.003384209  62.89553
4948                   5065     7  0.007896488  62.90343
4949                   5066     7  0.007896488  62.91132
4950                   5067     4  0.004512279  62.91583
4951                   5068     6  0.006768419  62.92260
4952                   5069     4  0.004512279  62.92712
4953                   5070     6  0.006768419  62.93388
4954                   5071     6  0.006768419  62.94065
4955                   5072     4  0.004512279  62.94516
4956                   5073     2  0.002256140  62.94742
4957                   5074     6  0.006768419  62.95419
4958                   5075     4  0.004512279  62.95870
4959                   5076     5  0.005640349  62.96434
4960                   5077     4  0.004512279  62.96885
4961                   5078     8  0.009024558  62.97788
4962                   5079     8  0.009024558  62.98690
4963                   5080     6  0.006768419  62.99367
4964                   5081     6  0.006768419  63.00044
4965                   5082     7  0.007896488  63.00834
4966                   5083     5  0.005640349  63.01398
4967                   5084     4  0.004512279  63.01849
4968                   5085    15  0.016921046  63.03541
4969                   5086     6  0.006768419  63.04218
4970                   5087     6  0.006768419  63.04895
4971                   5088    32  0.036098232  63.08505
4972                   5089     5  0.005640349  63.09069
4973                   5090     3  0.003384209  63.09407
4974                   5091     2  0.002256140  63.09633
4975                   5092     6  0.006768419  63.10309
4976                   5093     5  0.005640349  63.10873
4977                   5094     7  0.007896488  63.11663
4978                   5095     9  0.010152628  63.12678
4979                   5096    16  0.018049116  63.14483
4980                   5097     5  0.005640349  63.15047
4981                   5098     5  0.005640349  63.15611
4982                   5099     8  0.009024558  63.16514
4983                   5100     4  0.004512279  63.16965
4984                   5101     7  0.007896488  63.17755
4985                   5102     3  0.003384209  63.18093
4986                   5103     4  0.004512279  63.18544
4987                   5104     5  0.005640349  63.19108
4988                   5105     6  0.006768419  63.19785
4989                   5106     6  0.006768419  63.20462
4990                   5107     4  0.004512279  63.20913
4991                   5108     3  0.003384209  63.21252
4992                   5109     6  0.006768419  63.21929
4993                   5110    12  0.013536837  63.23282
4994                   5111     3  0.003384209  63.23621
4995                   5112     4  0.004512279  63.24072
4996                   5113     8  0.009024558  63.24974
4997                   5114     7  0.007896488  63.25764
4998                   5115    12  0.013536837  63.27118
4999                   5116     6  0.006768419  63.27795
5000                   5117     7  0.007896488  63.28584
5001                   5118     5  0.005640349  63.29148
5002                   5119     2  0.002256140  63.29374
5003                   5120     5  0.005640349  63.29938
5004                   5121     6  0.006768419  63.30615
5005                   5122     3  0.003384209  63.30953
5006                   5123    12  0.013536837  63.32307
5007                   5124     3  0.003384209  63.32645
5008                   5125     1  0.001128070  63.32758
5009                   5126    10  0.011280698  63.33886
5010                   5127     5  0.005640349  63.34450
5011                   5128     5  0.005640349  63.35014
5012                   5129     5  0.005640349  63.35578
5013                   5130    12  0.013536837  63.36932
5014                   5131     5  0.005640349  63.37496
5015                   5132     5  0.005640349  63.38060
5016                   5133     1  0.001128070  63.38173
5017                   5134     2  0.002256140  63.38398
5018                   5135     7  0.007896488  63.39188
5019                   5136     5  0.005640349  63.39752
5020                   5137     7  0.007896488  63.40542
5021                   5138     6  0.006768419  63.41219
5022                   5139     6  0.006768419  63.41895
5023                   5140     7  0.007896488  63.42685
5024                   5141    23  0.025945604  63.45280
5025                   5142    10  0.011280698  63.46408
5026                   5143     6  0.006768419  63.47085
5027                   5144     5  0.005640349  63.47649
5028                   5145     8  0.009024558  63.48551
5029                   5146     4  0.004512279  63.49002
5030                   5147     3  0.003384209  63.49341
5031                   5148     4  0.004512279  63.49792
5032                   5149     8  0.009024558  63.50694
5033                   5150     6  0.006768419  63.51371
5034                   5151     7  0.007896488  63.52161
5035                   5152     6  0.006768419  63.52838
5036                   5154     2  0.002256140  63.53063
5037                   5155     8  0.009024558  63.53966
5038                   5156     9  0.010152628  63.54981
5039                   5157     7  0.007896488  63.55771
5040                   5158     7  0.007896488  63.56560
5041                   5159     4  0.004512279  63.57012
5042                   5160    10  0.011280698  63.58140
5043                   5161     3  0.003384209  63.58478
5044                   5162     4  0.004512279  63.58929
5045                   5163     2  0.002256140  63.59155
5046                   5164    12  0.013536837  63.60509
5047                   5165    11  0.012408767  63.61749
5048                   5166    10  0.011280698  63.62877
5049                   5167     2  0.002256140  63.63103
5050                   5168     4  0.004512279  63.63554
5051                   5169     8  0.009024558  63.64457
5052                   5170     1  0.001128070  63.64570
5053                   5171     6  0.006768419  63.65246
5054                   5172     5  0.005640349  63.65810
5055                   5173     3  0.003384209  63.66149
5056                   5174     5  0.005640349  63.66713
5057                   5175     4  0.004512279  63.67164
5058                   5176     5  0.005640349  63.67728
5059                   5177     1  0.001128070  63.67841
5060                   5178     6  0.006768419  63.68518
5061                   5179     9  0.010152628  63.69533
5062                   5180     3  0.003384209  63.69872
5063                   5181     8  0.009024558  63.70774
5064                   5182     5  0.005640349  63.71338
5065                   5183     3  0.003384209  63.71676
5066                   5184     3  0.003384209  63.72015
5067                   5185     4  0.004512279  63.72466
5068                   5186     7  0.007896488  63.73256
5069                   5187     5  0.005640349  63.73820
5070                   5188     8  0.009024558  63.74722
5071                   5189     4  0.004512279  63.75173
5072                   5190     5  0.005640349  63.75737
5073                   5191     7  0.007896488  63.76527
5074                   5192     5  0.005640349  63.77091
5075                   5193     6  0.006768419  63.77768
5076                   5194     8  0.009024558  63.78670
5077                   5195    10  0.011280698  63.79799
5078                   5196     6  0.006768419  63.80475
5079                   5197     4  0.004512279  63.80927
5080                   5198    18  0.020305256  63.82957
5081                   5199     5  0.005640349  63.83521
5082                   5200     7  0.007896488  63.84311
5083                   5201     4  0.004512279  63.84762
5084                   5202     4  0.004512279  63.85213
5085                   5203    12  0.013536837  63.86567
5086                   5204    10  0.011280698  63.87695
5087                   5205     5  0.005640349  63.88259
5088                   5206     3  0.003384209  63.88597
5089                   5207     6  0.006768419  63.89274
5090                   5208     4  0.004512279  63.89726
5091                   5209     9  0.010152628  63.90741
5092                   5210    10  0.011280698  63.91869
5093                   5211    14  0.015792977  63.93448
5094                   5212    14  0.015792977  63.95027
5095                   5213     5  0.005640349  63.95592
5096                   5214     4  0.004512279  63.96043
5097                   5215     5  0.005640349  63.96607
5098                   5216     7  0.007896488  63.97396
5099                   5217     8  0.009024558  63.98299
5100                   5218     8  0.009024558  63.99201
5101                   5219     8  0.009024558  64.00104
5102                   5220     3  0.003384209  64.00442
5103                   5221     5  0.005640349  64.01006
5104                   5222    16  0.018049116  64.02811
5105                   5223    13  0.014664907  64.04278
5106                   5224     9  0.010152628  64.05293
5107                   5225     4  0.004512279  64.05744
5108                   5226     3  0.003384209  64.06083
5109                   5227     6  0.006768419  64.06759
5110                   5228     7  0.007896488  64.07549
5111                   5229    10  0.011280698  64.08677
5112                   5230    12  0.013536837  64.10031
5113                   5231    12  0.013536837  64.11384
5114                   5232     3  0.003384209  64.11723
5115                   5233    16  0.018049116  64.13528
5116                   5234    10  0.011280698  64.14656
5117                   5235     9  0.010152628  64.15671
5118                   5236     3  0.003384209  64.16010
5119                   5237     4  0.004512279  64.16461
5120                   5238     2  0.002256140  64.16686
5121                   5239     6  0.006768419  64.17363
5122                   5240     5  0.005640349  64.17927
5123                   5241     1  0.001128070  64.18040
5124                   5242     6  0.006768419  64.18717
5125                   5243     6  0.006768419  64.19394
5126                   5244    12  0.013536837  64.20747
5127                   5245    13  0.014664907  64.22214
5128                   5246     6  0.006768419  64.22891
5129                   5247     9  0.010152628  64.23906
5130                   5248     3  0.003384209  64.24244
5131                   5249    10  0.011280698  64.25373
5132                   5250     2  0.002256140  64.25598
5133                   5251     4  0.004512279  64.26049
5134                   5252     2  0.002256140  64.26275
5135                   5253     9  0.010152628  64.27290
5136                   5254     5  0.005640349  64.27854
5137                   5255     2  0.002256140  64.28080
5138                   5256     3  0.003384209  64.28418
5139                   5257     1  0.001128070  64.28531
5140                   5258     5  0.005640349  64.29095
5141                   5259     2  0.002256140  64.29321
5142                   5261     7  0.007896488  64.30110
5143                   5262     7  0.007896488  64.30900
5144                   5263     4  0.004512279  64.31351
5145                   5264     5  0.005640349  64.31915
5146                   5265     5  0.005640349  64.32479
5147                   5266     7  0.007896488  64.33269
5148                   5267     7  0.007896488  64.34059
5149                   5268     8  0.009024558  64.34961
5150                   5269     7  0.007896488  64.35751
5151                   5270     3  0.003384209  64.36089
5152                   5271     3  0.003384209  64.36428
5153                   5272    10  0.011280698  64.37556
5154                   5273    17  0.019177186  64.39473
5155                   5274    15  0.016921046  64.41166
5156                   5275     7  0.007896488  64.41955
5157                   5276     4  0.004512279  64.42406
5158                   5277    13  0.014664907  64.43873
5159                   5278     5  0.005640349  64.44437
5160                   5279     4  0.004512279  64.44888
5161                   5280     8  0.009024558  64.45791
5162                   5281     5  0.005640349  64.46355
5163                   5282     9  0.010152628  64.47370
5164                   5283     8  0.009024558  64.48272
5165                   5284     6  0.006768419  64.48949
5166                   5285     7  0.007896488  64.49739
5167                   5286     6  0.006768419  64.50416
5168                   5287    13  0.014664907  64.51882
5169                   5288     5  0.005640349  64.52446
5170                   5289     4  0.004512279  64.52897
5171                   5290     6  0.006768419  64.53574
5172                   5291     9  0.010152628  64.54590
5173                   5292     8  0.009024558  64.55492
5174                   5293     8  0.009024558  64.56394
5175                   5294    14  0.015792977  64.57974
5176                   5295    17  0.019177186  64.59891
5177                   5296    11  0.012408767  64.61132
5178                   5297    11  0.012408767  64.62373
5179                   5298     8  0.009024558  64.63276
5180                   5299     7  0.007896488  64.64065
5181                   5300     6  0.006768419  64.64742
5182                   5301    10  0.011280698  64.65870
5183                   5302    12  0.013536837  64.67224
5184                   5303     6  0.006768419  64.67901
5185                   5304     4  0.004512279  64.68352
5186                   5305     8  0.009024558  64.69254
5187                   5306    13  0.014664907  64.70721
5188                   5307     5  0.005640349  64.71285
5189                   5308     6  0.006768419  64.71962
5190                   5309     5  0.005640349  64.72526
5191                   5310     8  0.009024558  64.73428
5192                   5311    11  0.012408767  64.74669
5193                   5312     4  0.004512279  64.75120
5194                   5313     7  0.007896488  64.75910
5195                   5314     7  0.007896488  64.76700
5196                   5315    11  0.012408767  64.77941
5197                   5316    12  0.013536837  64.79294
5198                   5317     4  0.004512279  64.79746
5199                   5318    11  0.012408767  64.80986
5200                   5319     4  0.004512279  64.81438
5201                   5320     7  0.007896488  64.82227
5202                   5321    13  0.014664907  64.83694
5203                   5322     7  0.007896488  64.84483
5204                   5323     4  0.004512279  64.84935
5205                   5324     3  0.003384209  64.85273
5206                   5325     3  0.003384209  64.85611
5207                   5326     5  0.005640349  64.86176
5208                   5327    12  0.013536837  64.87529
5209                   5328     6  0.006768419  64.88206
5210                   5329    10  0.011280698  64.89334
5211                   5330     4  0.004512279  64.89785
5212                   5331     6  0.006768419  64.90462
5213                   5332    15  0.016921046  64.92154
5214                   5333     3  0.003384209  64.92493
5215                   5334     6  0.006768419  64.93170
5216                   5335     4  0.004512279  64.93621
5217                   5336     9  0.010152628  64.94636
5218                   5337    10  0.011280698  64.95764
5219                   5338     6  0.006768419  64.96441
5220                   5339    13  0.014664907  64.97907
5221                   5340    12  0.013536837  64.99261
5222                   5341     7  0.007896488  65.00051
5223                   5342    10  0.011280698  65.01179
5224                   5343     5  0.005640349  65.01743
5225                   5344     7  0.007896488  65.02533
5226                   5345    10  0.011280698  65.03661
5227                   5346    18  0.020305256  65.05691
5228                   5347     9  0.010152628  65.06706
5229                   5348     9  0.010152628  65.07722
5230                   5349     4  0.004512279  65.08173
5231                   5350     9  0.010152628  65.09188
5232                   5351     9  0.010152628  65.10203
5233                   5352     4  0.004512279  65.10655
5234                   5353     9  0.010152628  65.11670
5235                   5354    10  0.011280698  65.12798
5236                   5355    14  0.015792977  65.14377
5237                   5356     6  0.006768419  65.15054
5238                   5357     6  0.006768419  65.15731
5239                   5358    13  0.014664907  65.17197
5240                   5359     5  0.005640349  65.17761
5241                   5360    11  0.012408767  65.19002
5242                   5361     7  0.007896488  65.19792
5243                   5362     7  0.007896488  65.20582
5244                   5363    11  0.012408767  65.21823
5245                   5364    11  0.012408767  65.23063
5246                   5365     5  0.005640349  65.23627
5247                   5366     4  0.004512279  65.24079
5248                   5367     6  0.006768419  65.24755
5249                   5368     9  0.010152628  65.25771
5250                   5369     5  0.005640349  65.26335
5251                   5370     6  0.006768419  65.27012
5252                   5371     8  0.009024558  65.27914
5253                   5372     6  0.006768419  65.28591
5254                   5373     4  0.004512279  65.29042
5255                   5374     5  0.005640349  65.29606
5256                   5375     6  0.006768419  65.30283
5257                   5376     4  0.004512279  65.30734
5258                   5377     8  0.009024558  65.31637
5259                   5378     7  0.007896488  65.32426
5260                   5379    10  0.011280698  65.33554
5261                   5380    10  0.011280698  65.34683
5262                   5381     9  0.010152628  65.35698
5263                   5382     9  0.010152628  65.36713
5264                   5383     5  0.005640349  65.37277
5265                   5384     8  0.009024558  65.38180
5266                   5385     7  0.007896488  65.38969
5267                   5386     5  0.005640349  65.39533
5268                   5387     5  0.005640349  65.40097
5269                   5388     4  0.004512279  65.40548
5270                   5389     9  0.010152628  65.41564
5271                   5390     3  0.003384209  65.41902
5272                   5391     3  0.003384209  65.42241
5273                   5392    10  0.011280698  65.43369
5274                   5393    16  0.018049116  65.45174
5275                   5394    17  0.019177186  65.47091
5276                   5395    11  0.012408767  65.48332
5277                   5396     3  0.003384209  65.48671
5278                   5397     3  0.003384209  65.49009
5279                   5398     6  0.006768419  65.49686
5280                   5399    11  0.012408767  65.50927
5281                   5400     2  0.002256140  65.51152
5282                   5401     3  0.003384209  65.51491
5283                   5402     1  0.001128070  65.51604
5284                   5403     5  0.005640349  65.52168
5285                   5404     6  0.006768419  65.52844
5286                   5405     8  0.009024558  65.53747
5287                   5406     8  0.009024558  65.54649
5288                   5407     9  0.010152628  65.55665
5289                   5408    12  0.013536837  65.57018
5290                   5409     5  0.005640349  65.57582
5291                   5410     3  0.003384209  65.57921
5292                   5411     6  0.006768419  65.58598
5293                   5412     6  0.006768419  65.59274
5294                   5413     4  0.004512279  65.59726
5295                   5414     6  0.006768419  65.60402
5296                   5415     7  0.007896488  65.61192
5297                   5416     5  0.005640349  65.61756
5298                   5417    12  0.013536837  65.63110
5299                   5418     3  0.003384209  65.63448
5300                   5419     7  0.007896488  65.64238
5301                   5420     5  0.005640349  65.64802
5302                   5421     1  0.001128070  65.64915
5303                   5422     7  0.007896488  65.65704
5304                   5423     7  0.007896488  65.66494
5305                   5424    12  0.013536837  65.67848
5306                   5425     5  0.005640349  65.68412
5307                   5426     7  0.007896488  65.69201
5308                   5427     9  0.010152628  65.70217
5309                   5428     4  0.004512279  65.70668
5310                   5429     7  0.007896488  65.71458
5311                   5430    10  0.011280698  65.72586
5312                   5431    18  0.020305256  65.74616
5313                   5432    10  0.011280698  65.75744
5314                   5433     5  0.005640349  65.76308
5315                   5434     4  0.004512279  65.76760
5316                   5435     7  0.007896488  65.77549
5317                   5436     6  0.006768419  65.78226
5318                   5437    14  0.015792977  65.79805
5319                   5438    12  0.013536837  65.81159
5320                   5439     5  0.005640349  65.81723
5321                   5440     5  0.005640349  65.82287
5322                   5441     7  0.007896488  65.83077
5323                   5442    11  0.012408767  65.84318
5324                   5443     7  0.007896488  65.85107
5325                   5444     5  0.005640349  65.85671
5326                   5445     7  0.007896488  65.86461
5327                   5446     2  0.002256140  65.86687
5328                   5447     5  0.005640349  65.87251
5329                   5448     4  0.004512279  65.87702
5330                   5449    10  0.011280698  65.88830
5331                   5450     4  0.004512279  65.89281
5332                   5451     6  0.006768419  65.89958
5333                   5452     5  0.005640349  65.90522
5334                   5453     5  0.005640349  65.91086
5335                   5454     3  0.003384209  65.91424
5336                   5455     8  0.009024558  65.92327
5337                   5456     5  0.005640349  65.92891
5338                   5457     4  0.004512279  65.93342
5339                   5458     6  0.006768419  65.94019
5340                   5459    11  0.012408767  65.95260
5341                   5460     4  0.004512279  65.95711
5342                   5461     4  0.004512279  65.96162
5343                   5462     5  0.005640349  65.96726
5344                   5463     6  0.006768419  65.97403
5345                   5464     8  0.009024558  65.98306
5346                   5465     6  0.006768419  65.98982
5347                   5466     7  0.007896488  65.99772
5348                   5467     6  0.006768419  66.00449
5349                   5468     4  0.004512279  66.00900
5350                   5469     6  0.006768419  66.01577
5351                   5470     5  0.005640349  66.02141
5352                   5471     7  0.007896488  66.02931
5353                   5472     8  0.009024558  66.03833
5354                   5473     9  0.010152628  66.04848
5355                   5474     4  0.004512279  66.05300
5356                   5475     6  0.006768419  66.05977
5357                   5476     8  0.009024558  66.06879
5358                   5477     6  0.006768419  66.07556
5359                   5478     1  0.001128070  66.07669
5360                   5479    14  0.015792977  66.09248
5361                   5480    12  0.013536837  66.10602
5362                   5481    10  0.011280698  66.11730
5363                   5482    14  0.015792977  66.13309
5364                   5483     7  0.007896488  66.14099
5365                   5484     2  0.002256140  66.14324
5366                   5485     4  0.004512279  66.14775
5367                   5486     8  0.009024558  66.15678
5368                   5487     5  0.005640349  66.16242
5369                   5488     7  0.007896488  66.17032
5370                   5489     8  0.009024558  66.17934
5371                   5490    13  0.014664907  66.19401
5372                   5491    14  0.015792977  66.20980
5373                   5492     8  0.009024558  66.21882
5374                   5493     5  0.005640349  66.22446
5375                   5494     2  0.002256140  66.22672
5376                   5495     7  0.007896488  66.23462
5377                   5496     6  0.006768419  66.24138
5378                   5497     4  0.004512279  66.24590
5379                   5498     7  0.007896488  66.25379
5380                   5499     2  0.002256140  66.25605
5381                   5500     4  0.004512279  66.26056
5382                   5501     4  0.004512279  66.26507
5383                   5502     4  0.004512279  66.26959
5384                   5503     5  0.005640349  66.27523
5385                   5504     5  0.005640349  66.28087
5386                   5505    10  0.011280698  66.29215
5387                   5506    11  0.012408767  66.30456
5388                   5507     5  0.005640349  66.31020
5389                   5508     6  0.006768419  66.31697
5390                   5509     6  0.006768419  66.32373
5391                   5510     1  0.001128070  66.32486
5392                   5511     5  0.005640349  66.33050
5393                   5512     5  0.005640349  66.33614
5394                   5513     5  0.005640349  66.34178
5395                   5514     3  0.003384209  66.34517
5396                   5515     6  0.006768419  66.35194
5397                   5516    12  0.013536837  66.36547
5398                   5517     8  0.009024558  66.37450
5399                   5518     7  0.007896488  66.38239
5400                   5519     9  0.010152628  66.39255
5401                   5520     8  0.009024558  66.40157
5402                   5521     7  0.007896488  66.40947
5403                   5522    13  0.014664907  66.42413
5404                   5523     4  0.004512279  66.42864
5405                   5524     5  0.005640349  66.43428
5406                   5525     9  0.010152628  66.44444
5407                   5526    10  0.011280698  66.45572
5408                   5527     6  0.006768419  66.46249
5409                   5528     5  0.005640349  66.46813
5410                   5529     5  0.005640349  66.47377
5411                   5530    12  0.013536837  66.48730
5412                   5531     8  0.009024558  66.49633
5413                   5532    16  0.018049116  66.51438
5414                   5533     6  0.006768419  66.52115
5415                   5534     6  0.006768419  66.52791
5416                   5535     7  0.007896488  66.53581
5417                   5536     8  0.009024558  66.54484
5418                   5537    10  0.011280698  66.55612
5419                   5538    11  0.012408767  66.56852
5420                   5539     6  0.006768419  66.57529
5421                   5540    18  0.020305256  66.59560
5422                   5541    20  0.022561395  66.61816
5423                   5542     9  0.010152628  66.62831
5424                   5543     6  0.006768419  66.63508
5425                   5544     3  0.003384209  66.63846
5426                   5545     6  0.006768419  66.64523
5427                   5546     2  0.002256140  66.64749
5428                   5547     6  0.006768419  66.65426
5429                   5548     3  0.003384209  66.65764
5430                   5549     6  0.006768419  66.66441
5431                   5550     5  0.005640349  66.67005
5432                   5552     4  0.004512279  66.67456
5433                   5553     2  0.002256140  66.67682
5434                   5554    11  0.012408767  66.68923
5435                   5555     5  0.005640349  66.69487
5436                   5556    15  0.016921046  66.71179
5437                   5557     9  0.010152628  66.72194
5438                   5558     9  0.010152628  66.73209
5439                   5559    10  0.011280698  66.74338
5440                   5560    11  0.012408767  66.75578
5441                   5561    40  0.045122790  66.80091
5442                   5562     5  0.005640349  66.80655
5443                   5563     2  0.002256140  66.80880
5444                   5564     8  0.009024558  66.81783
5445                   5565     6  0.006768419  66.82460
5446                   5566     7  0.007896488  66.83249
5447                   5567     6  0.006768419  66.83926
5448                   5568     6  0.006768419  66.84603
5449                   5569     5  0.005640349  66.85167
5450                   5570     6  0.006768419  66.85844
5451                   5571     5  0.005640349  66.86408
5452                   5572     3  0.003384209  66.86746
5453                   5573     6  0.006768419  66.87423
5454                   5574     4  0.004512279  66.87874
5455                   5575     5  0.005640349  66.88438
5456                   5576     4  0.004512279  66.88890
5457                   5577     5  0.005640349  66.89454
5458                   5578     3  0.003384209  66.89792
5459                   5579     9  0.010152628  66.90807
5460                   5580     5  0.005640349  66.91371
5461                   5581     4  0.004512279  66.91823
5462                   5582     6  0.006768419  66.92499
5463                   5583     5  0.005640349  66.93063
5464                   5584    10  0.011280698  66.94192
5465                   5585     9  0.010152628  66.95207
5466                   5586    13  0.014664907  66.96673
5467                   5587     9  0.010152628  66.97689
5468                   5588     6  0.006768419  66.98365
5469                   5589     5  0.005640349  66.98929
5470                   5590     8  0.009024558  66.99832
5471                   5591     6  0.006768419  67.00509
5472                   5592     4  0.004512279  67.00960
5473                   5593     5  0.005640349  67.01524
5474                   5594     3  0.003384209  67.01862
5475                   5595     8  0.009024558  67.02765
5476                   5596     7  0.007896488  67.03555
5477                   5597    11  0.012408767  67.04795
5478                   5598    13  0.014664907  67.06262
5479                   5599     9  0.010152628  67.07277
5480                   5600    10  0.011280698  67.08405
5481                   5601     7  0.007896488  67.09195
5482                   5602     9  0.010152628  67.10210
5483                   5603     9  0.010152628  67.11225
5484                   5604     4  0.004512279  67.11677
5485                   5605     6  0.006768419  67.12353
5486                   5606     6  0.006768419  67.13030
5487                   5607     5  0.005640349  67.13594
5488                   5608     7  0.007896488  67.14384
5489                   5609     6  0.006768419  67.15061
5490                   5610    15  0.016921046  67.16753
5491                   5611    17  0.019177186  67.18671
5492                   5612     8  0.009024558  67.19573
5493                   5613     8  0.009024558  67.20476
5494                   5614     6  0.006768419  67.21152
5495                   5615     8  0.009024558  67.22055
5496                   5616     5  0.005640349  67.22619
5497                   5617    10  0.011280698  67.23747
5498                   5618     5  0.005640349  67.24311
5499                   5619     6  0.006768419  67.24988
5500                   5620     5  0.005640349  67.25552
5501                   5621     3  0.003384209  67.25890
5502                   5622     3  0.003384209  67.26229
5503                   5623     6  0.006768419  67.26906
5504                   5624     5  0.005640349  67.27470
5505                   5625     3  0.003384209  67.27808
5506                   5626    11  0.012408767  67.29049
5507                   5627    18  0.020305256  67.31079
5508                   5628    27  0.030457884  67.34125
5509                   5629    30  0.033842093  67.37509
5510                   5630     4  0.004512279  67.37961
5511                   5631     6  0.006768419  67.38638
5512                   5632    11  0.012408767  67.39878
5513                   5633     9  0.010152628  67.40894
5514                   5634     7  0.007896488  67.41683
5515                   5635     7  0.007896488  67.42473
5516                   5636     4  0.004512279  67.42924
5517                   5637     5  0.005640349  67.43488
5518                   5638     4  0.004512279  67.43939
5519                   5639    10  0.011280698  67.45068
5520                   5640     8  0.009024558  67.45970
5521                   5641     8  0.009024558  67.46872
5522                   5642    13  0.014664907  67.48339
5523                   5643     9  0.010152628  67.49354
5524                   5644     9  0.010152628  67.50369
5525                   5645     6  0.006768419  67.51046
5526                   5646     4  0.004512279  67.51498
5527                   5647     3  0.003384209  67.51836
5528                   5648     9  0.010152628  67.52851
5529                   5649    14  0.015792977  67.54430
5530                   5650     8  0.009024558  67.55333
5531                   5651     9  0.010152628  67.56348
5532                   5652    19  0.021433325  67.58492
5533                   5653    13  0.014664907  67.59958
5534                   5654     2  0.002256140  67.60184
5535                   5655     4  0.004512279  67.60635
5536                   5656     7  0.007896488  67.61425
5537                   5657     8  0.009024558  67.62327
5538                   5658     8  0.009024558  67.63229
5539                   5659     5  0.005640349  67.63793
5540                   5660    10  0.011280698  67.64922
5541                   5661     9  0.010152628  67.65937
5542                   5662    18  0.020305256  67.67967
5543                   5663    22  0.024817535  67.70449
5544                   5664    16  0.018049116  67.72254
5545                   5665     8  0.009024558  67.73156
5546                   5666    12  0.013536837  67.74510
5547                   5667     9  0.010152628  67.75525
5548                   5668    13  0.014664907  67.76992
5549                   5669     7  0.007896488  67.77782
5550                   5670    13  0.014664907  67.79248
5551                   5671     7  0.007896488  67.80038
5552                   5672    15  0.016921046  67.81730
5553                   5673    13  0.014664907  67.83196
5554                   5674     6  0.006768419  67.83873
5555                   5675     8  0.009024558  67.84776
5556                   5676     2  0.002256140  67.85001
5557                   5677     7  0.007896488  67.85791
5558                   5678     2  0.002256140  67.86016
5559                   5679    11  0.012408767  67.87257
5560                   5680    18  0.020305256  67.89288
5561                   5681    29  0.032714023  67.92559
5562                   5682     7  0.007896488  67.93349
5563                   5683     6  0.006768419  67.94026
5564                   5684     7  0.007896488  67.94815
5565                   5685     7  0.007896488  67.95605
5566                   5686     6  0.006768419  67.96282
5567                   5687     6  0.006768419  67.96959
5568                   5688     9  0.010152628  67.97974
5569                   5689    10  0.011280698  67.99102
5570                   5690     7  0.007896488  67.99892
5571                   5691     7  0.007896488  68.00681
5572                   5692    18  0.020305256  68.02712
5573                   5693     3  0.003384209  68.03050
5574                   5694     6  0.006768419  68.03727
5575                   5695     8  0.009024558  68.04630
5576                   5696     7  0.007896488  68.05419
5577                   5697     7  0.007896488  68.06209
5578                   5698     9  0.010152628  68.07224
5579                   5699     9  0.010152628  68.08239
5580                   5700    14  0.015792977  68.09819
5581                   5701     6  0.006768419  68.10496
5582                   5702    10  0.011280698  68.11624
5583                   5703     3  0.003384209  68.11962
5584                   5704     5  0.005640349  68.12526
5585                   5705     4  0.004512279  68.12977
5586                   5706    10  0.011280698  68.14105
5587                   5707     6  0.006768419  68.14782
5588                   5708     8  0.009024558  68.15685
5589                   5709    11  0.012408767  68.16926
5590                   5710     3  0.003384209  68.17264
5591                   5711     5  0.005640349  68.17828
5592                   5712     3  0.003384209  68.18166
5593                   5713    13  0.014664907  68.19633
5594                   5714     3  0.003384209  68.19971
5595                   5715     6  0.006768419  68.20648
5596                   5716    10  0.011280698  68.21776
5597                   5717     7  0.007896488  68.22566
5598                   5718     8  0.009024558  68.23468
5599                   5719    13  0.014664907  68.24935
5600                   5720     7  0.007896488  68.25725
5601                   5721    14  0.015792977  68.27304
5602                   5722     9  0.010152628  68.28319
5603                   5723    18  0.020305256  68.30350
5604                   5724     4  0.004512279  68.30801
5605                   5725     5  0.005640349  68.31365
5606                   5726     4  0.004512279  68.31816
5607                   5727     4  0.004512279  68.32267
5608                   5728     3  0.003384209  68.32606
5609                   5729     8  0.009024558  68.33508
5610                   5730     6  0.006768419  68.34185
5611                   5731     9  0.010152628  68.35200
5612                   5732     9  0.010152628  68.36216
5613                   5733     6  0.006768419  68.36892
5614                   5734    10  0.011280698  68.38020
5615                   5735     6  0.006768419  68.38697
5616                   5736     8  0.009024558  68.39600
5617                   5737     8  0.009024558  68.40502
5618                   5738     5  0.005640349  68.41066
5619                   5739    13  0.014664907  68.42533
5620                   5740     4  0.004512279  68.42984
5621                   5741     5  0.005640349  68.43548
5622                   5742     9  0.010152628  68.44563
5623                   5743    10  0.011280698  68.45691
5624                   5744    10  0.011280698  68.46819
5625                   5745     8  0.009024558  68.47722
5626                   5746     4  0.004512279  68.48173
5627                   5747     6  0.006768419  68.48850
5628                   5748     5  0.005640349  68.49414
5629                   5749     9  0.010152628  68.50429
5630                   5750     9  0.010152628  68.51444
5631                   5751     7  0.007896488  68.52234
5632                   5752     5  0.005640349  68.52798
5633                   5753    10  0.011280698  68.53926
5634                   5754    16  0.018049116  68.55731
5635                   5755    13  0.014664907  68.57198
5636                   5756    19  0.021433325  68.59341
5637                   5757     9  0.010152628  68.60356
5638                   5758     7  0.007896488  68.61146
5639                   5759     6  0.006768419  68.61823
5640                   5760     2  0.002256140  68.62048
5641                   5761     4  0.004512279  68.62500
5642                   5762     2  0.002256140  68.62725
5643                   5763     9  0.010152628  68.63740
5644                   5764    10  0.011280698  68.64869
5645                   5765     4  0.004512279  68.65320
5646                   5766     3  0.003384209  68.65658
5647                   5767     4  0.004512279  68.66109
5648                   5768     6  0.006768419  68.66786
5649                   5769     6  0.006768419  68.67463
5650                   5770    10  0.011280698  68.68591
5651                   5771     6  0.006768419  68.69268
5652                   5772     6  0.006768419  68.69945
5653                   5773     6  0.006768419  68.70622
5654                   5774    10  0.011280698  68.71750
5655                   5775     4  0.004512279  68.72201
5656                   5776     3  0.003384209  68.72539
5657                   5777     1  0.001128070  68.72652
5658                   5778     3  0.003384209  68.72991
5659                   5779     4  0.004512279  68.73442
5660                   5780     5  0.005640349  68.74006
5661                   5781     4  0.004512279  68.74457
5662                   5782     9  0.010152628  68.75472
5663                   5783     6  0.006768419  68.76149
5664                   5784     8  0.009024558  68.77052
5665                   5785     4  0.004512279  68.77503
5666                   5786     1  0.001128070  68.77616
5667                   5787     4  0.004512279  68.78067
5668                   5788     8  0.009024558  68.78969
5669                   5789    10  0.011280698  68.80097
5670                   5790     3  0.003384209  68.80436
5671                   5791     8  0.009024558  68.81338
5672                   5792     6  0.006768419  68.82015
5673                   5793     5  0.005640349  68.82579
5674                   5794     6  0.006768419  68.83256
5675                   5795    11  0.012408767  68.84497
5676                   5796    14  0.015792977  68.86076
5677                   5797    10  0.011280698  68.87204
5678                   5798     9  0.010152628  68.88220
5679                   5799     9  0.010152628  68.89235
5680                   5800    12  0.013536837  68.90589
5681                   5801     8  0.009024558  68.91491
5682                   5802     4  0.004512279  68.91942
5683                   5803     8  0.009024558  68.92845
5684                   5804     6  0.006768419  68.93521
5685                   5805    11  0.012408767  68.94762
5686                   5806    10  0.011280698  68.95890
5687                   5807     8  0.009024558  68.96793
5688                   5808     6  0.006768419  68.97470
5689                   5809     7  0.007896488  68.98259
5690                   5810     3  0.003384209  68.98598
5691                   5811     7  0.007896488  68.99387
5692                   5812     6  0.006768419  69.00064
5693                   5813    10  0.011280698  69.01192
5694                   5814     5  0.005640349  69.01756
5695                   5815     7  0.007896488  69.02546
5696                   5816     7  0.007896488  69.03336
5697                   5817     6  0.006768419  69.04013
5698                   5818     7  0.007896488  69.04802
5699                   5819     5  0.005640349  69.05366
5700                   5820    12  0.013536837  69.06720
5701                   5821     4  0.004512279  69.07171
5702                   5822     7  0.007896488  69.07961
5703                   5823     4  0.004512279  69.08412
5704                   5824    12  0.013536837  69.09766
5705                   5825     8  0.009024558  69.10668
5706                   5826     4  0.004512279  69.11119
5707                   5827    11  0.012408767  69.12360
5708                   5828     6  0.006768419  69.13037
5709                   5829     9  0.010152628  69.14052
5710                   5830     7  0.007896488  69.14842
5711                   5831     5  0.005640349  69.15406
5712                   5832     4  0.004512279  69.15857
5713                   5833     4  0.004512279  69.16309
5714                   5834     8  0.009024558  69.17211
5715                   5835     8  0.009024558  69.18113
5716                   5836     5  0.005640349  69.18677
5717                   5837     7  0.007896488  69.19467
5718                   5838     6  0.006768419  69.20144
5719                   5839     3  0.003384209  69.20482
5720                   5840     7  0.007896488  69.21272
5721                   5841     8  0.009024558  69.22174
5722                   5842     6  0.006768419  69.22851
5723                   5843    13  0.014664907  69.24318
5724                   5844    11  0.012408767  69.25559
5725                   5845     5  0.005640349  69.26123
5726                   5846     6  0.006768419  69.26800
5727                   5848     8  0.009024558  69.27702
5728                   5849     3  0.003384209  69.28040
5729                   5850     5  0.005640349  69.28604
5730                   5851     7  0.007896488  69.29394
5731                   5852     5  0.005640349  69.29958
5732                   5853     6  0.006768419  69.30635
5733                   5854     8  0.009024558  69.31537
5734                   5855     7  0.007896488  69.32327
5735                   5856     2  0.002256140  69.32553
5736                   5857    14  0.015792977  69.34132
5737                   5858     6  0.006768419  69.34809
5738                   5859     8  0.009024558  69.35711
5739                   5860     4  0.004512279  69.36163
5740                   5861     9  0.010152628  69.37178
5741                   5862     8  0.009024558  69.38080
5742                   5863     9  0.010152628  69.39096
5743                   5864    13  0.014664907  69.40562
5744                   5865     7  0.007896488  69.41352
5745                   5866    10  0.011280698  69.42480
5746                   5867    13  0.014664907  69.43946
5747                   5868     9  0.010152628  69.44961
5748                   5869     7  0.007896488  69.45751
5749                   5870     7  0.007896488  69.46541
5750                   5871    10  0.011280698  69.47669
5751                   5872     9  0.010152628  69.48684
5752                   5873     5  0.005640349  69.49248
5753                   5874     5  0.005640349  69.49812
5754                   5875    12  0.013536837  69.51166
5755                   5876    12  0.013536837  69.52520
5756                   5877     4  0.004512279  69.52971
5757                   5878     9  0.010152628  69.53986
5758                   5879     2  0.002256140  69.54212
5759                   5880     9  0.010152628  69.55227
5760                   5881    10  0.011280698  69.56355
5761                   5882    11  0.012408767  69.57596
5762                   5883    10  0.011280698  69.58724
5763                   5884    14  0.015792977  69.60303
5764                   5885    18  0.020305256  69.62334
5765                   5886    11  0.012408767  69.63575
5766                   5887    11  0.012408767  69.64816
5767                   5888     8  0.009024558  69.65718
5768                   5889     7  0.007896488  69.66508
5769                   5890    10  0.011280698  69.67636
5770                   5891     4  0.004512279  69.68087
5771                   5892     5  0.005640349  69.68651
5772                   5893     7  0.007896488  69.69441
5773                   5894    12  0.013536837  69.70794
5774                   5895     6  0.006768419  69.71471
5775                   5896     5  0.005640349  69.72035
5776                   5897     6  0.006768419  69.72712
5777                   5898    13  0.014664907  69.74178
5778                   5899     6  0.006768419  69.74855
5779                   5900     9  0.010152628  69.75871
5780                   5901    15  0.016921046  69.77563
5781                   5902     8  0.009024558  69.78465
5782                   5903     7  0.007896488  69.79255
5783                   5904     4  0.004512279  69.79706
5784                   5905     7  0.007896488  69.80496
5785                   5906     7  0.007896488  69.81285
5786                   5907     7  0.007896488  69.82075
5787                   5908     8  0.009024558  69.82977
5788                   5909     3  0.003384209  69.83316
5789                   5910     4  0.004512279  69.83767
5790                   5911     6  0.006768419  69.84444
5791                   5912     5  0.005640349  69.85008
5792                   5913     8  0.009024558  69.85910
5793                   5914     7  0.007896488  69.86700
5794                   5915     8  0.009024558  69.87603
5795                   5916     8  0.009024558  69.88505
5796                   5917     7  0.007896488  69.89295
5797                   5918     3  0.003384209  69.89633
5798                   5919     5  0.005640349  69.90197
5799                   5920     1  0.001128070  69.90310
5800                   5921    10  0.011280698  69.91438
5801                   5922    15  0.016921046  69.93130
5802                   5923    10  0.011280698  69.94258
5803                   5924     8  0.009024558  69.95161
5804                   5925     8  0.009024558  69.96063
5805                   5926     7  0.007896488  69.96853
5806                   5927    10  0.011280698  69.97981
5807                   5928     6  0.006768419  69.98658
5808                   5929     9  0.010152628  69.99673
5809                   5930     9  0.010152628  70.00688
5810                   5931    15  0.016921046  70.02380
5811                   5932     8  0.009024558  70.03283
5812                   5933     9  0.010152628  70.04298
5813                   5934    11  0.012408767  70.05539
5814                   5935     8  0.009024558  70.06441
5815                   5936    10  0.011280698  70.07569
5816                   5937     8  0.009024558  70.08472
5817                   5938     6  0.006768419  70.09149
5818                   5939     9  0.010152628  70.10164
5819                   5940     5  0.005640349  70.10728
5820                   5941    14  0.015792977  70.12307
5821                   5942    17  0.019177186  70.14225
5822                   5943     5  0.005640349  70.14789
5823                   5944     7  0.007896488  70.15579
5824                   5945     7  0.007896488  70.16368
5825                   5946     5  0.005640349  70.16932
5826                   5947     6  0.006768419  70.17609
5827                   5948    12  0.013536837  70.18963
5828                   5949     7  0.007896488  70.19753
5829                   5950     7  0.007896488  70.20542
5830                   5951     6  0.006768419  70.21219
5831                   5952     4  0.004512279  70.21670
5832                   5953    11  0.012408767  70.22911
5833                   5954     5  0.005640349  70.23475
5834                   5955    12  0.013536837  70.24829
5835                   5956    11  0.012408767  70.26070
5836                   5957     7  0.007896488  70.26859
5837                   5958    11  0.012408767  70.28100
5838                   5959    11  0.012408767  70.29341
5839                   5960     8  0.009024558  70.30244
5840                   5961     4  0.004512279  70.30695
5841                   5962     7  0.007896488  70.31484
5842                   5963     3  0.003384209  70.31823
5843                   5964     7  0.007896488  70.32612
5844                   5965     6  0.006768419  70.33289
5845                   5966     5  0.005640349  70.33853
5846                   5967    13  0.014664907  70.35320
5847                   5968     8  0.009024558  70.36222
5848                   5969     6  0.006768419  70.36899
5849                   5970     3  0.003384209  70.37238
5850                   5971    11  0.012408767  70.38478
5851                   5972     9  0.010152628  70.39494
5852                   5973     6  0.006768419  70.40171
5853                   5974     8  0.009024558  70.41073
5854                   5975     6  0.006768419  70.41750
5855                   5976     8  0.009024558  70.42652
5856                   5977     6  0.006768419  70.43329
5857                   5978     9  0.010152628  70.44344
5858                   5979    13  0.014664907  70.45811
5859                   5980     3  0.003384209  70.46149
5860                   5981    13  0.014664907  70.47616
5861                   5982     6  0.006768419  70.48293
5862                   5983    12  0.013536837  70.49646
5863                   5984     9  0.010152628  70.50662
5864                   5985    12  0.013536837  70.52015
5865                   5986    14  0.015792977  70.53595
5866                   5987     6  0.006768419  70.54271
5867                   5988     6  0.006768419  70.54948
5868                   5989    11  0.012408767  70.56189
5869                   5990     5  0.005640349  70.56753
5870                   5991     9  0.010152628  70.57768
5871                   5992    12  0.013536837  70.59122
5872                   5993     6  0.006768419  70.59799
5873                   5994     7  0.007896488  70.60589
5874                   5995    10  0.011280698  70.61717
5875                   5996    14  0.015792977  70.63296
5876                   5997     5  0.005640349  70.63860
5877                   5998     8  0.009024558  70.64762
5878                   5999    18  0.020305256  70.66793
5879                   6000    10  0.011280698  70.67921
5880                   6001     5  0.005640349  70.68485
5881                   6002    10  0.011280698  70.69613
5882                   6003    11  0.012408767  70.70854
5883                   6004     7  0.007896488  70.71644
5884                   6005     9  0.010152628  70.72659
5885                   6006    13  0.014664907  70.74125
5886                   6007     7  0.007896488  70.74915
5887                   6008     8  0.009024558  70.75818
5888                   6009    11  0.012408767  70.77058
5889                   6010     1  0.001128070  70.77171
5890                   6011     6  0.006768419  70.77848
5891                   6012    16  0.018049116  70.79653
5892                   6013    16  0.018049116  70.81458
5893                   6014    10  0.011280698  70.82586
5894                   6015     5  0.005640349  70.83150
5895                   6016    14  0.015792977  70.84729
5896                   6017    10  0.011280698  70.85857
5897                   6018     4  0.004512279  70.86309
5898                   6019     8  0.009024558  70.87211
5899                   6020    15  0.016921046  70.88903
5900                   6021     8  0.009024558  70.89806
5901                   6022    11  0.012408767  70.91047
5902                   6023     4  0.004512279  70.91498
5903                   6024     9  0.010152628  70.92513
5904                   6025    11  0.012408767  70.93754
5905                   6026    13  0.014664907  70.95220
5906                   6027    17  0.019177186  70.97138
5907                   6028    10  0.011280698  70.98266
5908                   6029     6  0.006768419  70.98943
5909                   6030     4  0.004512279  70.99394
5910                   6031     4  0.004512279  70.99845
5911                   6032    12  0.013536837  71.01199
5912                   6033     9  0.010152628  71.02214
5913                   6034    13  0.014664907  71.03681
5914                   6035     6  0.006768419  71.04358
5915                   6036    19  0.021433325  71.06501
5916                   6037     9  0.010152628  71.07516
5917                   6038    10  0.011280698  71.08644
5918                   6039    11  0.012408767  71.09885
5919                   6040    21  0.023689465  71.12254
5920                   6041    13  0.014664907  71.13721
5921                   6042    11  0.012408767  71.14962
5922                   6043    10  0.011280698  71.16090
5923                   6044     8  0.009024558  71.16992
5924                   6045     6  0.006768419  71.17669
5925                   6046     7  0.007896488  71.18459
5926                   6047     9  0.010152628  71.19474
5927                   6048     3  0.003384209  71.19812
5928                   6049     5  0.005640349  71.20376
5929                   6050     4  0.004512279  71.20828
5930                   6051    18  0.020305256  71.22858
5931                   6052     4  0.004512279  71.23309
5932                   6053     9  0.010152628  71.24325
5933                   6054     4  0.004512279  71.24776
5934                   6055    12  0.013536837  71.26129
5935                   6056    10  0.011280698  71.27258
5936                   6057     7  0.007896488  71.28047
5937                   6058    34  0.038354372  71.31883
5938                   6059    38  0.042866651  71.36169
5939                   6060    22  0.024817535  71.38651
5940                   6061    10  0.011280698  71.39779
5941                   6062     9  0.010152628  71.40794
5942                   6063     5  0.005640349  71.41358
5943                   6064     8  0.009024558  71.42261
5944                   6065    10  0.011280698  71.43389
5945                   6066    12  0.013536837  71.44743
5946                   6067    14  0.015792977  71.46322
5947                   6068    19  0.021433325  71.48465
5948                   6069    16  0.018049116  71.50270
5949                   6070    11  0.012408767  71.51511
5950                   6071    11  0.012408767  71.52752
5951                   6072    18  0.020305256  71.54782
5952                   6073    10  0.011280698  71.55911
5953                   6074     9  0.010152628  71.56926
5954                   6075     7  0.007896488  71.57715
5955                   6076    18  0.020305256  71.59746
5956                   6077     4  0.004512279  71.60197
5957                   6078     8  0.009024558  71.61100
5958                   6079    12  0.013536837  71.62453
5959                   6080     5  0.005640349  71.63017
5960                   6081     7  0.007896488  71.63807
5961                   6082     9  0.010152628  71.64822
5962                   6083    12  0.013536837  71.66176
5963                   6084    12  0.013536837  71.67530
5964                   6085    11  0.012408767  71.68771
5965                   6086     9  0.010152628  71.69786
5966                   6087     7  0.007896488  71.70575
5967                   6088    13  0.014664907  71.72042
5968                   6089    11  0.012408767  71.73283
5969                   6090    10  0.011280698  71.74411
5970                   6091     8  0.009024558  71.75313
5971                   6092     4  0.004512279  71.75765
5972                   6093     6  0.006768419  71.76441
5973                   6094     2  0.002256140  71.76667
5974                   6095     6  0.006768419  71.77344
5975                   6096     9  0.010152628  71.78359
5976                   6097     5  0.005640349  71.78923
5977                   6098     5  0.005640349  71.79487
5978                   6099    12  0.013536837  71.80841
5979                   6100     4  0.004512279  71.81292
5980                   6101     8  0.009024558  71.82195
5981                   6102     5  0.005640349  71.82759
5982                   6103    10  0.011280698  71.83887
5983                   6104    15  0.016921046  71.85579
5984                   6105     7  0.007896488  71.86368
5985                   6106     9  0.010152628  71.87384
5986                   6107    14  0.015792977  71.88963
5987                   6108     9  0.010152628  71.89978
5988                   6109     8  0.009024558  71.90881
5989                   6110    12  0.013536837  71.92234
5990                   6111     5  0.005640349  71.92798
5991                   6112     6  0.006768419  71.93475
5992                   6113     6  0.006768419  71.94152
5993                   6114    19  0.021433325  71.96295
5994                   6115    12  0.013536837  71.97649
5995                   6116    28  0.031585953  72.00808
5996                   6117    18  0.020305256  72.02838
5997                   6118    19  0.021433325  72.04982
5998                   6119     7  0.007896488  72.05771
5999                   6120     3  0.003384209  72.06110
6000                   6121     5  0.005640349  72.06674
6001                   6122     5  0.005640349  72.07238
6002                   6123     6  0.006768419  72.07915
6003                   6124     4  0.004512279  72.08366
6004                   6125     8  0.009024558  72.09268
6005                   6126     3  0.003384209  72.09607
6006                   6127     5  0.005640349  72.10171
6007                   6128    11  0.012408767  72.11412
6008                   6129     6  0.006768419  72.12088
6009                   6130    13  0.014664907  72.13555
6010                   6131    14  0.015792977  72.15134
6011                   6132     7  0.007896488  72.15924
6012                   6133    19  0.021433325  72.18067
6013                   6134    10  0.011280698  72.19195
6014                   6135    12  0.013536837  72.20549
6015                   6136    15  0.016921046  72.22241
6016                   6137    10  0.011280698  72.23369
6017                   6138     9  0.010152628  72.24384
6018                   6139     7  0.007896488  72.25174
6019                   6140     4  0.004512279  72.25625
6020                   6141     6  0.006768419  72.26302
6021                   6142    10  0.011280698  72.27430
6022                   6143    12  0.013536837  72.28784
6023                   6144    12  0.013536837  72.30138
6024                   6145     8  0.009024558  72.31040
6025                   6146     6  0.006768419  72.31717
6026                   6147     3  0.003384209  72.32055
6027                   6148     4  0.004512279  72.32506
6028                   6149     8  0.009024558  72.33409
6029                   6150    11  0.012408767  72.34650
6030                   6151     2  0.002256140  72.34875
6031                   6152    10  0.011280698  72.36003
6032                   6153     5  0.005640349  72.36568
6033                   6154     9  0.010152628  72.37583
6034                   6155     5  0.005640349  72.38147
6035                   6156     8  0.009024558  72.39049
6036                   6157     6  0.006768419  72.39726
6037                   6158     7  0.007896488  72.40516
6038                   6159     6  0.006768419  72.41193
6039                   6160    12  0.013536837  72.42546
6040                   6161     9  0.010152628  72.43562
6041                   6162     6  0.006768419  72.44238
6042                   6163     9  0.010152628  72.45254
6043                   6164     6  0.006768419  72.45930
6044                   6165     4  0.004512279  72.46382
6045                   6166    10  0.011280698  72.47510
6046                   6167     7  0.007896488  72.48299
6047                   6168     3  0.003384209  72.48638
6048                   6169     7  0.007896488  72.49428
6049                   6170    11  0.012408767  72.50668
6050                   6171    10  0.011280698  72.51796
6051                   6172     3  0.003384209  72.52135
6052                   6173     9  0.010152628  72.53150
6053                   6174    11  0.012408767  72.54391
6054                   6175     7  0.007896488  72.55181
6055                   6176    23  0.025945604  72.57775
6056                   6177    10  0.011280698  72.58903
6057                   6178     9  0.010152628  72.59919
6058                   6179     3  0.003384209  72.60257
6059                   6180     8  0.009024558  72.61159
6060                   6181     5  0.005640349  72.61723
6061                   6182     9  0.010152628  72.62739
6062                   6183     7  0.007896488  72.63528
6063                   6184    10  0.011280698  72.64656
6064                   6185     9  0.010152628  72.65672
6065                   6186    13  0.014664907  72.67138
6066                   6187    18  0.020305256  72.69169
6067                   6188    12  0.013536837  72.70522
6068                   6189     7  0.007896488  72.71312
6069                   6190     4  0.004512279  72.71763
6070                   6191     6  0.006768419  72.72440
6071                   6192     7  0.007896488  72.73230
6072                   6193     4  0.004512279  72.73681
6073                   6194    11  0.012408767  72.74922
6074                   6195     7  0.007896488  72.75712
6075                   6196    11  0.012408767  72.76952
6076                   6197    10  0.011280698  72.78080
6077                   6198     8  0.009024558  72.78983
6078                   6199    18  0.020305256  72.81013
6079                   6200    17  0.019177186  72.82931
6080                   6201    13  0.014664907  72.84398
6081                   6202    10  0.011280698  72.85526
6082                   6203     9  0.010152628  72.86541
6083                   6204    13  0.014664907  72.88007
6084                   6205    10  0.011280698  72.89136
6085                   6206    11  0.012408767  72.90376
6086                   6207    11  0.012408767  72.91617
6087                   6208     8  0.009024558  72.92520
6088                   6209     6  0.006768419  72.93197
6089                   6210     6  0.006768419  72.93873
6090                   6211     4  0.004512279  72.94325
6091                   6212    14  0.015792977  72.95904
6092                   6213    14  0.015792977  72.97483
6093                   6214     4  0.004512279  72.97935
6094                   6215     5  0.005640349  72.98499
6095                   6216     9  0.010152628  72.99514
6096                   6217     9  0.010152628  73.00529
6097                   6218    11  0.012408767  73.01770
6098                   6219     5  0.005640349  73.02334
6099                   6220     6  0.006768419  73.03011
6100                   6221     7  0.007896488  73.03800
6101                   6222     5  0.005640349  73.04365
6102                   6223     6  0.006768419  73.05041
6103                   6224     3  0.003384209  73.05380
6104                   6225     8  0.009024558  73.06282
6105                   6226     7  0.007896488  73.07072
6106                   6227     3  0.003384209  73.07410
6107                   6228     4  0.004512279  73.07862
6108                   6229     6  0.006768419  73.08538
6109                   6230     7  0.007896488  73.09328
6110                   6231     8  0.009024558  73.10230
6111                   6232    10  0.011280698  73.11359
6112                   6233     4  0.004512279  73.11810
6113                   6234    13  0.014664907  73.13276
6114                   6235     6  0.006768419  73.13953
6115                   6236    16  0.018049116  73.15758
6116                   6237    10  0.011280698  73.16886
6117                   6238     7  0.007896488  73.17676
6118                   6239     5  0.005640349  73.18240
6119                   6240     6  0.006768419  73.18917
6120                   6241     7  0.007896488  73.19706
6121                   6242    11  0.012408767  73.20947
6122                   6243    12  0.013536837  73.22301
6123                   6244     9  0.010152628  73.23316
6124                   6245     4  0.004512279  73.23767
6125                   6246     4  0.004512279  73.24219
6126                   6247     7  0.007896488  73.25008
6127                   6248    10  0.011280698  73.26136
6128                   6249     6  0.006768419  73.26813
6129                   6250    14  0.015792977  73.28392
6130                   6251     7  0.007896488  73.29182
6131                   6252     7  0.007896488  73.29972
6132                   6253     8  0.009024558  73.30874
6133                   6254     3  0.003384209  73.31213
6134                   6255     6  0.006768419  73.31889
6135                   6256     6  0.006768419  73.32566
6136                   6257     9  0.010152628  73.33582
6137                   6258     5  0.005640349  73.34146
6138                   6259     7  0.007896488  73.34935
6139                   6260     6  0.006768419  73.35612
6140                   6261     6  0.006768419  73.36289
6141                   6262     7  0.007896488  73.37079
6142                   6263    13  0.014664907  73.38545
6143                   6264     8  0.009024558  73.39447
6144                   6265     6  0.006768419  73.40124
6145                   6266    11  0.012408767  73.41365
6146                   6267     5  0.005640349  73.41929
6147                   6268     6  0.006768419  73.42606
6148                   6269     7  0.007896488  73.43396
6149                   6270     7  0.007896488  73.44185
6150                   6271     5  0.005640349  73.44749
6151                   6272     5  0.005640349  73.45313
6152                   6273     5  0.005640349  73.45877
6153                   6274     8  0.009024558  73.46780
6154                   6275    10  0.011280698  73.47908
6155                   6276    10  0.011280698  73.49036
6156                   6277    10  0.011280698  73.50164
6157                   6278    14  0.015792977  73.51743
6158                   6279    12  0.013536837  73.53097
6159                   6280     4  0.004512279  73.53548
6160                   6281     5  0.005640349  73.54112
6161                   6282     6  0.006768419  73.54789
6162                   6283     5  0.005640349  73.55353
6163                   6284     7  0.007896488  73.56143
6164                   6285     8  0.009024558  73.57045
6165                   6286     8  0.009024558  73.57948
6166                   6287     9  0.010152628  73.58963
6167                   6288     9  0.010152628  73.59978
6168                   6289    13  0.014664907  73.61445
6169                   6290     7  0.007896488  73.62234
6170                   6291     6  0.006768419  73.62911
6171                   6292    10  0.011280698  73.64039
6172                   6293     9  0.010152628  73.65055
6173                   6294    14  0.015792977  73.66634
6174                   6295     6  0.006768419  73.67311
6175                   6296     8  0.009024558  73.68213
6176                   6297     3  0.003384209  73.68552
6177                   6298     6  0.006768419  73.69229
6178                   6299     7  0.007896488  73.70018
6179                   6300     9  0.010152628  73.71033
6180                   6301     2  0.002256140  73.71259
6181                   6302     3  0.003384209  73.71597
6182                   6303    11  0.012408767  73.72838
6183                   6304     9  0.010152628  73.73854
6184                   6305     9  0.010152628  73.74869
6185                   6306     8  0.009024558  73.75771
6186                   6307     8  0.009024558  73.76674
6187                   6308     5  0.005640349  73.77238
6188                   6309     8  0.009024558  73.78140
6189                   6310     7  0.007896488  73.78930
6190                   6311     8  0.009024558  73.79832
6191                   6312     9  0.010152628  73.80848
6192                   6313     9  0.010152628  73.81863
6193                   6314     8  0.009024558  73.82765
6194                   6315    13  0.014664907  73.84232
6195                   6316     5  0.005640349  73.84796
6196                   6317    12  0.013536837  73.86150
6197                   6318    10  0.011280698  73.87278
6198                   6319    12  0.013536837  73.88631
6199                   6320     5  0.005640349  73.89195
6200                   6321     8  0.009024558  73.90098
6201                   6322     9  0.010152628  73.91113
6202                   6323     4  0.004512279  73.91564
6203                   6324     6  0.006768419  73.92241
6204                   6325     8  0.009024558  73.93144
6205                   6326     9  0.010152628  73.94159
6206                   6327    13  0.014664907  73.95625
6207                   6328     6  0.006768419  73.96302
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6209                   6330     5  0.005640349  73.98107
6210                   6331     8  0.009024558  73.99010
6211                   6332     9  0.010152628  74.00025
6212                   6333     4  0.004512279  74.00476
6213                   6334    14  0.015792977  74.02055
6214                   6335     5  0.005640349  74.02619
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6217                   6338     6  0.006768419  74.06229
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6219                   6340     5  0.005640349  74.07696
6220                   6341     8  0.009024558  74.08598
6221                   6342    12  0.013536837  74.09952
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6224                   6345     7  0.007896488  74.11982
6225                   6346     6  0.006768419  74.12659
6226                   6347    11  0.012408767  74.13900
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6228                   6349     5  0.005640349  74.15028
6229                   6350    14  0.015792977  74.16607
6230                   6351     9  0.010152628  74.17623
6231                   6352     8  0.009024558  74.18525
6232                   6353     9  0.010152628  74.19540
6233                   6354    11  0.012408767  74.20781
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6243                   6364     7  0.007896488  74.33641
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6256                   6377     8  0.009024558  74.49660
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6258                   6379     5  0.005640349  74.50901
6259                   6380     7  0.007896488  74.51690
6260                   6381     7  0.007896488  74.52480
6261                   6382     7  0.007896488  74.53270
6262                   6383     8  0.009024558  74.54172
6263                   6384     7  0.007896488  74.54962
6264                   6385     5  0.005640349  74.55526
6265                   6386     8  0.009024558  74.56428
6266                   6387     6  0.006768419  74.57105
6267                   6388    12  0.013536837  74.58459
6268                   6389    11  0.012408767  74.59700
6269                   6390     9  0.010152628  74.60715
6270                   6391     9  0.010152628  74.61730
6271                   6392     4  0.004512279  74.62181
6272                   6393     7  0.007896488  74.62971
6273                   6394     6  0.006768419  74.63648
6274                   6395     8  0.009024558  74.64550
6275                   6396    17  0.019177186  74.66468
6276                   6397     9  0.010152628  74.67483
6277                   6398    10  0.011280698  74.68611
6278                   6399     7  0.007896488  74.69401
6279                   6400    10  0.011280698  74.70529
6280                   6401    11  0.012408767  74.71770
6281                   6402    10  0.011280698  74.72898
6282                   6403     9  0.010152628  74.73913
6283                   6404    18  0.020305256  74.75944
6284                   6405     9  0.010152628  74.76959
6285                   6406     9  0.010152628  74.77974
6286                   6407    11  0.012408767  74.79215
6287                   6408    19  0.021433325  74.81359
6288                   6409    25  0.028201744  74.84179
6289                   6410     7  0.007896488  74.84968
6290                   6411    12  0.013536837  74.86322
6291                   6412     6  0.006768419  74.86999
6292                   6413    12  0.013536837  74.88353
6293                   6414    12  0.013536837  74.89706
6294                   6415     7  0.007896488  74.90496
6295                   6416    11  0.012408767  74.91737
6296                   6417    11  0.012408767  74.92978
6297                   6418     8  0.009024558  74.93880
6298                   6419    12  0.013536837  74.95234
6299                   6420    10  0.011280698  74.96362
6300                   6421    14  0.015792977  74.97941
6301                   6422    15  0.016921046  74.99633
6302                   6423     5  0.005640349  75.00197
6303                   6424    12  0.013536837  75.01551
6304                   6425     9  0.010152628  75.02566
6305                   6426    10  0.011280698  75.03694
6306                   6427     5  0.005640349  75.04258
6307                   6428    12  0.013536837  75.05612
6308                   6429     9  0.010152628  75.06627
6309                   6430     9  0.010152628  75.07643
6310                   6431    12  0.013536837  75.08996
6311                   6432     8  0.009024558  75.09899
6312                   6433     9  0.010152628  75.10914
6313                   6434    15  0.016921046  75.12606
6314                   6435     5  0.005640349  75.13170
6315                   6436     9  0.010152628  75.14185
6316                   6437    10  0.011280698  75.15314
6317                   6438     8  0.009024558  75.16216
6318                   6439     8  0.009024558  75.17118
6319                   6440     1  0.001128070  75.17231
6320                   6441     7  0.007896488  75.18021
6321                   6442    10  0.011280698  75.19149
6322                   6443    10  0.011280698  75.20277
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6325                   6446    18  0.020305256  75.25015
6326                   6447    21  0.023689465  75.27384
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6328                   6449     6  0.006768419  75.30091
6329                   6450     6  0.006768419  75.30768
6330                   6451     8  0.009024558  75.31671
6331                   6452     7  0.007896488  75.32460
6332                   6453     8  0.009024558  75.33363
6333                   6454    18  0.020305256  75.35393
6334                   6455    19  0.021433325  75.37537
6335                   6456    21  0.023689465  75.39905
6336                   6457    14  0.015792977  75.41485
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6338                   6459     6  0.006768419  75.43402
6339                   6460     8  0.009024558  75.44305
6340                   6461    10  0.011280698  75.45433
6341                   6462     5  0.005640349  75.45997
6342                   6463    11  0.012408767  75.47238
6343                   6464     3  0.003384209  75.47576
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6345                   6466     7  0.007896488  75.48704
6346                   6467     8  0.009024558  75.49607
6347                   6468     5  0.005640349  75.50171
6348                   6469     7  0.007896488  75.50961
6349                   6470     9  0.010152628  75.51976
6350                   6471    12  0.013536837  75.53329
6351                   6472     9  0.010152628  75.54345
6352                   6473     8  0.009024558  75.55247
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6354                   6475    12  0.013536837  75.58519
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6360                   6481    10  0.011280698  75.64949
6361                   6482     8  0.009024558  75.65851
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6364                   6485    11  0.012408767  75.68671
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6369                   6490    12  0.013536837  75.73860
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6373                   6494    11  0.012408767  75.77132
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6380                   6501    17  0.019177186  75.85141
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6382                   6503    15  0.016921046  75.88751
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6384                   6505     3  0.003384209  75.89992
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6388                   6509    12  0.013536837  75.94053
6389                   6510     5  0.005640349  75.94617
6390                   6511     9  0.010152628  75.95632
6391                   6512     6  0.006768419  75.96309
6392                   6513     7  0.007896488  75.97099
6393                   6514     5  0.005640349  75.97663
6394                   6515     9  0.010152628  75.98678
6395                   6516    18  0.020305256  76.00708
6396                   6517    11  0.012408767  76.01949
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6399                   6520     7  0.007896488  76.04318
6400                   6521     8  0.009024558  76.05221
6401                   6522     8  0.009024558  76.06123
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6410                   6531     5  0.005640349  76.14358
6411                   6532     8  0.009024558  76.15261
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6413                   6534    10  0.011280698  76.16953
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6417                   6538    10  0.011280698  76.21465
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6419                   6540    10  0.011280698  76.23495
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6423                   6544     7  0.007896488  76.28572
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6425                   6546    15  0.016921046  76.32407
6426                   6547    10  0.011280698  76.33535
6427                   6548    12  0.013536837  76.34889
6428                   6549     5  0.005640349  76.35453
6429                   6550     8  0.009024558  76.36355
6430                   6551    16  0.018049116  76.38160
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6433                   6554     7  0.007896488  76.41545
6434                   6555     9  0.010152628  76.42560
6435                   6556    17  0.019177186  76.44478
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6437                   6558    10  0.011280698  76.47298
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6441                   6562    23  0.025945604  76.54179
6442                   6563    20  0.022561395  76.56435
6443                   6564    17  0.019177186  76.58353
6444                   6565    11  0.012408767  76.59594
6445                   6566    11  0.012408767  76.60835
6446                   6567     8  0.009024558  76.61737
6447                   6568    12  0.013536837  76.63091
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6449                   6570    15  0.016921046  76.65347
6450                   6571    15  0.016921046  76.67039
6451                   6572     9  0.010152628  76.68054
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6453                   6574    11  0.012408767  76.70987
6454                   6575    17  0.019177186  76.72905
6455                   6576    16  0.018049116  76.74710
6456                   6577    14  0.015792977  76.76289
6457                   6578    15  0.016921046  76.77981
6458                   6579    11  0.012408767  76.79222
6459                   6580    18  0.020305256  76.81253
6460                   6581    15  0.016921046  76.82945
6461                   6582    15  0.016921046  76.84637
6462                   6583    12  0.013536837  76.85991
6463                   6584    17  0.019177186  76.87908
6464                   6585    13  0.014664907  76.89375
6465                   6586     9  0.010152628  76.90390
6466                   6587     9  0.010152628  76.91405
6467                   6588    10  0.011280698  76.92533
6468                   6589     4  0.004512279  76.92985
6469                   6590    16  0.018049116  76.94789
6470                   6591    12  0.013536837  76.96143
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6472                   6593    13  0.014664907  76.98963
6473                   6594     9  0.010152628  76.99979
6474                   6595     7  0.007896488  77.00768
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6476                   6597     5  0.005640349  77.02912
6477                   6598    26  0.029329814  77.05845
6478                   6599    16  0.018049116  77.07649
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6481                   6602    12  0.013536837  77.12275
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6484                   6605     4  0.004512279  77.15546
6485                   6606     8  0.009024558  77.16448
6486                   6607     9  0.010152628  77.17464
6487                   6608    16  0.018049116  77.19269
6488                   6609    13  0.014664907  77.20735
6489                   6610     8  0.009024558  77.21638
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6495                   6616     3  0.003384209  77.30662
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6500                   6621    11  0.012408767  77.35400
6501                   6622     8  0.009024558  77.36302
6502                   6623     6  0.006768419  77.36979
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6504                   6625     8  0.009024558  77.38671
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6506                   6627    15  0.016921046  77.41153
6507                   6628    17  0.019177186  77.43071
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6510                   6631    20  0.022561395  77.49614
6511                   6632     6  0.006768419  77.50290
6512                   6633     6  0.006768419  77.50967
6513                   6634    11  0.012408767  77.52208
6514                   6635    12  0.013536837  77.53562
6515                   6636    13  0.014664907  77.55028
6516                   6637    14  0.015792977  77.56608
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6518                   6639    13  0.014664907  77.59653
6519                   6640    15  0.016921046  77.61346
6520                   6641    17  0.019177186  77.63263
6521                   6642    13  0.014664907  77.64730
6522                   6643    13  0.014664907  77.66196
6523                   6644     6  0.006768419  77.66873
6524                   6645     6  0.006768419  77.67550
6525                   6646    10  0.011280698  77.68678
6526                   6647    15  0.016921046  77.70370
6527                   6648    15  0.016921046  77.72062
6528                   6649     8  0.009024558  77.72965
6529                   6650     7  0.007896488  77.73754
6530                   6651     6  0.006768419  77.74431
6531                   6652    14  0.015792977  77.76010
6532                   6653    18  0.020305256  77.78041
6533                   6654     9  0.010152628  77.79056
6534                   6655     9  0.010152628  77.80072
6535                   6656    28  0.031585953  77.83230
6536                   6657    58  0.065428046  77.89773
6537                   6658    59  0.066556116  77.96429
6538                   6659    16  0.018049116  77.98233
6539                   6660    11  0.012408767  77.99474
6540                   6661    12  0.013536837  78.00828
6541                   6662    10  0.011280698  78.01956
6542                   6663     9  0.010152628  78.02971
6543                   6664     8  0.009024558  78.03874
6544                   6665    12  0.013536837  78.05227
6545                   6666    11  0.012408767  78.06468
6546                   6667     6  0.006768419  78.07145
6547                   6668    18  0.020305256  78.09176
6548                   6669    12  0.013536837  78.10529
6549                   6670    18  0.020305256  78.12560
6550                   6671    11  0.012408767  78.13801
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6553                   6674    13  0.014664907  78.17749
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6555                   6676    13  0.014664907  78.20682
6556                   6677    17  0.019177186  78.22600
6557                   6678    15  0.016921046  78.24292
6558                   6679    23  0.025945604  78.26886
6559                   6680    20  0.022561395  78.29143
6560                   6681    24  0.027073674  78.31850
6561                   6682    15  0.016921046  78.33542
6562                   6683    15  0.016921046  78.35234
6563                   6684    19  0.021433325  78.37377
6564                   6685    17  0.019177186  78.39295
6565                   6686    19  0.021433325  78.41439
6566                   6687     7  0.007896488  78.42228
6567                   6688    11  0.012408767  78.43469
6568                   6689     9  0.010152628  78.44484
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6573                   6694     8  0.009024558  78.52042
6574                   6695    16  0.018049116  78.53847
6575                   6696    18  0.020305256  78.55878
6576                   6697    11  0.012408767  78.57119
6577                   6698    16  0.018049116  78.58924
6578                   6699    21  0.023689465  78.61293
6579                   6700    21  0.023689465  78.63661
6580                   6701     8  0.009024558  78.64564
6581                   6702    13  0.014664907  78.66030
6582                   6703    18  0.020305256  78.68061
6583                   6704    10  0.011280698  78.69189
6584                   6705    11  0.012408767  78.70430
6585                   6706    16  0.018049116  78.72235
6586                   6707    14  0.015792977  78.73814
6587                   6708    14  0.015792977  78.75393
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6660                   6781    17  0.019177186  79.99255
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6666                   6787    12  0.013536837  80.11100
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6668                   6789    18  0.020305256  80.14372
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6686                   6807    20  0.022561395  80.48891
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6694                   6815     9  0.010152628  80.65473
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6789                   6910    14  0.015792977  82.37842
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6975                   7096     9  0.010152628  84.79362
6976                   7097    12  0.013536837  84.80716
6977                   7098    15  0.016921046  84.82408
6978                   7099    12  0.013536837  84.83761
6979                   7100     7  0.007896488  84.84551
6980                   7101    16  0.018049116  84.86356
6981                   7102    10  0.011280698  84.87484
6982                   7103    11  0.012408767  84.88725
6983                   7104    12  0.013536837  84.90079
6984                   7105    14  0.015792977  84.91658
6985                   7106    13  0.014664907  84.93124
6986                   7107     9  0.010152628  84.94140
6987                   7108    12  0.013536837  84.95493
6988                   7109    11  0.012408767  84.96734
6989                   7110    20  0.022561395  84.98990
6990                   7111    17  0.019177186  85.00908
6991                   7112    13  0.014664907  85.02375
6992                   7113    23  0.025945604  85.04969
6993                   7114     9  0.010152628  85.05984
6994                   7115     5  0.005640349  85.06548
6995                   7116    22  0.024817535  85.09030
6996                   7117     7  0.007896488  85.09820
6997                   7118    17  0.019177186  85.11738
6998                   7119    10  0.011280698  85.12866
6999                   7120     3  0.003384209  85.13204
7000                   7121    14  0.015792977  85.14783
7001                   7122     4  0.004512279  85.15235
7002                   7123    13  0.014664907  85.16701
7003                   7124    15  0.016921046  85.18393
7004                   7125     9  0.010152628  85.19408
7005                   7126    14  0.015792977  85.20988
7006                   7127    16  0.018049116  85.22793
7007                   7128    20  0.022561395  85.25049
7008                   7129    17  0.019177186  85.26967
7009                   7130    14  0.015792977  85.28546
7010                   7131    10  0.011280698  85.29674
7011                   7132    11  0.012408767  85.30915
7012                   7133    13  0.014664907  85.32381
7013                   7134     8  0.009024558  85.33284
7014                   7135    14  0.015792977  85.34863
7015                   7136     8  0.009024558  85.35765
7016                   7137    12  0.013536837  85.37119
7017                   7138    11  0.012408767  85.38360
7018                   7139    18  0.020305256  85.40391
7019                   7140    11  0.012408767  85.41631
7020                   7141    12  0.013536837  85.42985
7021                   7142     7  0.007896488  85.43775
7022                   7143     8  0.009024558  85.44677
7023                   7144    21  0.023689465  85.47046
7024                   7145    14  0.015792977  85.48625
7025                   7146    14  0.015792977  85.50205
7026                   7147    14  0.015792977  85.51784
7027                   7148    20  0.022561395  85.54040
7028                   7149    10  0.011280698  85.55168
7029                   7150    13  0.014664907  85.56635
7030                   7151    15  0.016921046  85.58327
7031                   7152    18  0.020305256  85.60357
7032                   7153    11  0.012408767  85.61598
7033                   7154    16  0.018049116  85.63403
7034                   7155    19  0.021433325  85.65546
7035                   7156    10  0.011280698  85.66675
7036                   7157    23  0.025945604  85.69269
7037                   7158    13  0.014664907  85.70736
7038                   7159    21  0.023689465  85.73105
7039                   7160    10  0.011280698  85.74233
7040                   7161    16  0.018049116  85.76038
7041                   7162     9  0.010152628  85.77053
7042                   7163    19  0.021433325  85.79196
7043                   7164    22  0.024817535  85.81678
7044                   7165     6  0.006768419  85.82355
7045                   7166    12  0.013536837  85.83708
7046                   7167    10  0.011280698  85.84836
7047                   7168    19  0.021433325  85.86980
7048                   7169    13  0.014664907  85.88446
7049                   7170     8  0.009024558  85.89349
7050                   7171    12  0.013536837  85.90702
7051                   7172     9  0.010152628  85.91718
7052                   7173    10  0.011280698  85.92846
7053                   7174    23  0.025945604  85.95440
7054                   7175    19  0.021433325  85.97584
7055                   7176    17  0.019177186  85.99501
7056                   7177    20  0.022561395  86.01758
7057                   7178    16  0.018049116  86.03562
7058                   7179    18  0.020305256  86.05593
7059                   7180    16  0.018049116  86.07398
7060                   7181    10  0.011280698  86.08526
7061                   7182    10  0.011280698  86.09654
7062                   7183    17  0.019177186  86.11572
7063                   7184    10  0.011280698  86.12700
7064                   7185    16  0.018049116  86.14505
7065                   7186    14  0.015792977  86.16084
7066                   7187    15  0.016921046  86.17776
7067                   7188    14  0.015792977  86.19355
7068                   7189    14  0.015792977  86.20935
7069                   7190    11  0.012408767  86.22176
7070                   7191    12  0.013536837  86.23529
7071                   7192    10  0.011280698  86.24657
7072                   7193     8  0.009024558  86.25560
7073                   7194    11  0.012408767  86.26801
7074                   7195    10  0.011280698  86.27929
7075                   7196     9  0.010152628  86.28944
7076                   7197    12  0.013536837  86.30298
7077                   7198     8  0.009024558  86.31200
7078                   7199    10  0.011280698  86.32328
7079                   7200     6  0.006768419  86.33005
7080                   7201    13  0.014664907  86.34472
7081                   7202    11  0.012408767  86.35712
7082                   7203    10  0.011280698  86.36841
7083                   7204    17  0.019177186  86.38758
7084                   7205    10  0.011280698  86.39886
7085                   7206    14  0.015792977  86.41466
7086                   7207     8  0.009024558  86.42368
7087                   7208     7  0.007896488  86.43158
7088                   7209     5  0.005640349  86.43722
7089                   7210     9  0.010152628  86.44737
7090                   7211     7  0.007896488  86.45527
7091                   7212     8  0.009024558  86.46429
7092                   7213     7  0.007896488  86.47219
7093                   7214     8  0.009024558  86.48121
7094                   7215     7  0.007896488  86.48911
7095                   7216    10  0.011280698  86.50039
7096                   7217    13  0.014664907  86.51505
7097                   7218     4  0.004512279  86.51957
7098                   7219     4  0.004512279  86.52408
7099                   7220     2  0.002256140  86.52633
7100                   7221     5  0.005640349  86.53198
7101                   7222     9  0.010152628  86.54213
7102                   7223     8  0.009024558  86.55115
7103                   7224    18  0.020305256  86.57146
7104                   7225    14  0.015792977  86.58725
7105                   7226    20  0.022561395  86.60981
7106                   7227    11  0.012408767  86.62222
7107                   7228     9  0.010152628  86.63237
7108                   7229     9  0.010152628  86.64253
7109                   7230    14  0.015792977  86.65832
7110                   7231     5  0.005640349  86.66396
7111                   7232     7  0.007896488  86.67186
7112                   7233     6  0.006768419  86.67862
7113                   7234     4  0.004512279  86.68314
7114                   7235     9  0.010152628  86.69329
7115                   7236     8  0.009024558  86.70231
7116                   7237    14  0.015792977  86.71811
7117                   7238    16  0.018049116  86.73616
7118                   7239    15  0.016921046  86.75308
7119                   7240    23  0.025945604  86.77902
7120                   7241     8  0.009024558  86.78805
7121                   7242    10  0.011280698  86.79933
7122                   7243    13  0.014664907  86.81399
7123                   7244     6  0.006768419  86.82076
7124                   7245    12  0.013536837  86.83430
7125                   7246    15  0.016921046  86.85122
7126                   7247    16  0.018049116  86.86927
7127                   7248     8  0.009024558  86.87829
7128                   7249    16  0.018049116  86.89634
7129                   7250    13  0.014664907  86.91101
7130                   7251     9  0.010152628  86.92116
7131                   7252    13  0.014664907  86.93582
7132                   7253     7  0.007896488  86.94372
7133                   7254     9  0.010152628  86.95387
7134                   7255     5  0.005640349  86.95951
7135                   7256    12  0.013536837  86.97305
7136                   7257    13  0.014664907  86.98772
7137                   7258    12  0.013536837  87.00125
7138                   7259    16  0.018049116  87.01930
7139                   7260    14  0.015792977  87.03509
7140                   7261     8  0.009024558  87.04412
7141                   7262    12  0.013536837  87.05766
7142                   7263    22  0.024817535  87.08247
7143                   7264    15  0.016921046  87.09939
7144                   7265     8  0.009024558  87.10842
7145                   7266    11  0.012408767  87.12083
7146                   7267    12  0.013536837  87.13436
7147                   7268     5  0.005640349  87.14000
7148                   7269     7  0.007896488  87.14790
7149                   7270    10  0.011280698  87.15918
7150                   7271    10  0.011280698  87.17046
7151                   7272     9  0.010152628  87.18062
7152                   7273    12  0.013536837  87.19415
7153                   7274     7  0.007896488  87.20205
7154                   7275    10  0.011280698  87.21333
7155                   7276    14  0.015792977  87.22912
7156                   7277    10  0.011280698  87.24040
7157                   7278    11  0.012408767  87.25281
7158                   7279    10  0.011280698  87.26409
7159                   7280    10  0.011280698  87.27537
7160                   7281    11  0.012408767  87.28778
7161                   7282     7  0.007896488  87.29568
7162                   7283     7  0.007896488  87.30357
7163                   7284     7  0.007896488  87.31147
7164                   7285     7  0.007896488  87.31937
7165                   7286     8  0.009024558  87.32839
7166                   7287    47  0.053019279  87.38141
7167                   7288    18  0.020305256  87.40172
7168                   7289    11  0.012408767  87.41413
7169                   7290    14  0.015792977  87.42992
7170                   7291     8  0.009024558  87.43894
7171                   7292     6  0.006768419  87.44571
7172                   7293    18  0.020305256  87.46602
7173                   7294    22  0.024817535  87.49083
7174                   7295     9  0.010152628  87.50099
7175                   7296     2  0.002256140  87.50324
7176                   7297     4  0.004512279  87.50776
7177                   7298     5  0.005640349  87.51340
7178                   7299     3  0.003384209  87.51678
7179                   7300    14  0.015792977  87.53257
7180                   7301     8  0.009024558  87.54160
7181                   7302    11  0.012408767  87.55401
7182                   7303    13  0.014664907  87.56867
7183                   7304    12  0.013536837  87.58221
7184                   7305     7  0.007896488  87.59010
7185                   7306    10  0.011280698  87.60139
7186                   7307    19  0.021433325  87.62282
7187                   7308    15  0.016921046  87.63974
7188                   7309    19  0.021433325  87.66117
7189                   7310     4  0.004512279  87.66569
7190                   7311    13  0.014664907  87.68035
7191                   7312     6  0.006768419  87.68712
7192                   7313    10  0.011280698  87.69840
7193                   7314     6  0.006768419  87.70517
7194                   7315    16  0.018049116  87.72322
7195                   7316    10  0.011280698  87.73450
7196                   7317    11  0.012408767  87.74691
7197                   7318    17  0.019177186  87.76608
7198                   7319    10  0.011280698  87.77736
7199                   7320     7  0.007896488  87.78526
7200                   7321     9  0.010152628  87.79541
7201                   7322     9  0.010152628  87.80557
7202                   7323     9  0.010152628  87.81572
7203                   7324     8  0.009024558  87.82474
7204                   7325     7  0.007896488  87.83264
7205                   7326     3  0.003384209  87.83602
7206                   7327     8  0.009024558  87.84505
7207                   7328     6  0.006768419  87.85182
7208                   7329     7  0.007896488  87.85971
7209                   7330    10  0.011280698  87.87099
7210                   7331     5  0.005640349  87.87663
7211                   7332     4  0.004512279  87.88115
7212                   7333     5  0.005640349  87.88679
7213                   7334     8  0.009024558  87.89581
7214                   7335    12  0.013536837  87.90935
7215                   7336    17  0.019177186  87.92853
7216                   7337    17  0.019177186  87.94770
7217                   7338     6  0.006768419  87.95447
7218                   7339     7  0.007896488  87.96237
7219                   7340    11  0.012408767  87.97478
7220                   7341     3  0.003384209  87.97816
7221                   7342    18  0.020305256  87.99847
7222                   7343    16  0.018049116  88.01651
7223                   7344     7  0.007896488  88.02441
7224                   7345     4  0.004512279  88.02892
7225                   7346     7  0.007896488  88.03682
7226                   7347     6  0.006768419  88.04359
7227                   7348     5  0.005640349  88.04923
7228                   7349     9  0.010152628  88.05938
7229                   7350    15  0.016921046  88.07630
7230                   7351    17  0.019177186  88.09548
7231                   7352    12  0.013536837  88.10902
7232                   7353    13  0.014664907  88.12368
7233                   7354     8  0.009024558  88.13271
7234                   7355    10  0.011280698  88.14399
7235                   7356    19  0.021433325  88.16542
7236                   7357     8  0.009024558  88.17444
7237                   7358    12  0.013536837  88.18798
7238                   7359     6  0.006768419  88.19475
7239                   7360     9  0.010152628  88.20490
7240                   7361     6  0.006768419  88.21167
7241                   7362     7  0.007896488  88.21957
7242                   7363    13  0.014664907  88.23423
7243                   7364    11  0.012408767  88.24664
7244                   7365    10  0.011280698  88.25792
7245                   7366     7  0.007896488  88.26582
7246                   7367     9  0.010152628  88.27597
7247                   7368    20  0.022561395  88.29853
7248                   7369    21  0.023689465  88.32222
7249                   7370    27  0.030457884  88.35268
7250                   7371    10  0.011280698  88.36396
7251                   7372    14  0.015792977  88.37975
7252                   7373     8  0.009024558  88.38878
7253                   7374     6  0.006768419  88.39555
7254                   7375     9  0.010152628  88.40570
7255                   7376     6  0.006768419  88.41247
7256                   7377    12  0.013536837  88.42600
7257                   7378    12  0.013536837  88.43954
7258                   7379    12  0.013536837  88.45308
7259                   7380    11  0.012408767  88.46549
7260                   7381    11  0.012408767  88.47790
7261                   7382    12  0.013536837  88.49143
7262                   7383     7  0.007896488  88.49933
7263                   7384    13  0.014664907  88.51399
7264                   7385    11  0.012408767  88.52640
7265                   7386     8  0.009024558  88.53543
7266                   7387     7  0.007896488  88.54332
7267                   7388    10  0.011280698  88.55460
7268                   7389     6  0.006768419  88.56137
7269                   7390    12  0.013536837  88.57491
7270                   7391    10  0.011280698  88.58619
7271                   7392     9  0.010152628  88.59634
7272                   7393     8  0.009024558  88.60537
7273                   7394    10  0.011280698  88.61665
7274                   7395     6  0.006768419  88.62342
7275                   7396     8  0.009024558  88.63244
7276                   7397     6  0.006768419  88.63921
7277                   7398     6  0.006768419  88.64598
7278                   7399    39  0.043994721  88.68997
7279                   7400    17  0.019177186  88.70915
7280                   7401    11  0.012408767  88.72156
7281                   7402     7  0.007896488  88.72946
7282                   7403    16  0.018049116  88.74750
7283                   7404    21  0.023689465  88.77119
7284                   7405     6  0.006768419  88.77796
7285                   7406    11  0.012408767  88.79037
7286                   7407     3  0.003384209  88.79376
7287                   7408     5  0.005640349  88.79940
7288                   7409    12  0.013536837  88.81293
7289                   7410    12  0.013536837  88.82647
7290                   7411     9  0.010152628  88.83662
7291                   7412    11  0.012408767  88.84903
7292                   7413    12  0.013536837  88.86257
7293                   7414     8  0.009024558  88.87159
7294                   7415    11  0.012408767  88.88400
7295                   7416     8  0.009024558  88.89303
7296                   7417     9  0.010152628  88.90318
7297                   7418     5  0.005640349  88.90882
7298                   7419    13  0.014664907  88.92348
7299                   7420     8  0.009024558  88.93251
7300                   7421     8  0.009024558  88.94153
7301                   7422     6  0.006768419  88.94830
7302                   7423     5  0.005640349  88.95394
7303                   7424     7  0.007896488  88.96184
7304                   7425    11  0.012408767  88.97425
7305                   7426     9  0.010152628  88.98440
7306                   7427     8  0.009024558  88.99342
7307                   7428    14  0.015792977  89.00922
7308                   7429    16  0.018049116  89.02727
7309                   7430     6  0.006768419  89.03403
7310                   7431     7  0.007896488  89.04193
7311                   7432     9  0.010152628  89.05208
7312                   7433     8  0.009024558  89.06111
7313                   7434    12  0.013536837  89.07464
7314                   7435     8  0.009024558  89.08367
7315                   7436    11  0.012408767  89.09608
7316                   7437     2  0.002256140  89.09833
7317                   7438     8  0.009024558  89.10736
7318                   7439     7  0.007896488  89.11525
7319                   7440     9  0.010152628  89.12541
7320                   7441    12  0.013536837  89.13894
7321                   7442     9  0.010152628  89.14910
7322                   7443     2  0.002256140  89.15135
7323                   7444     5  0.005640349  89.15699
7324                   7445     5  0.005640349  89.16263
7325                   7446    10  0.011280698  89.17391
7326                   7447     9  0.010152628  89.18407
7327                   7448    14  0.015792977  89.19986
7328                   7449     7  0.007896488  89.20776
7329                   7450     6  0.006768419  89.21453
7330                   7451     8  0.009024558  89.22355
7331                   7452     4  0.004512279  89.22806
7332                   7453     9  0.010152628  89.23821
7333                   7454    12  0.013536837  89.25175
7334                   7455    18  0.020305256  89.27206
7335                   7456    20  0.022561395  89.29462
7336                   7457    16  0.018049116  89.31267
7337                   7458    14  0.015792977  89.32846
7338                   7459     9  0.010152628  89.33861
7339                   7460    12  0.013536837  89.35215
7340                   7461    15  0.016921046  89.36907
7341                   7462     7  0.007896488  89.37697
7342                   7463     5  0.005640349  89.38261
7343                   7464    11  0.012408767  89.39502
7344                   7465     8  0.009024558  89.40404
7345                   7466     5  0.005640349  89.40968
7346                   7467    12  0.013536837  89.42322
7347                   7468     9  0.010152628  89.43337
7348                   7469    13  0.014664907  89.44804
7349                   7470     6  0.006768419  89.45480
7350                   7471    10  0.011280698  89.46608
7351                   7472    12  0.013536837  89.47962
7352                   7473     9  0.010152628  89.48977
7353                   7474     6  0.006768419  89.49654
7354                   7475    13  0.014664907  89.51121
7355                   7476    13  0.014664907  89.52587
7356                   7477    14  0.015792977  89.54167
7357                   7478    14  0.015792977  89.55746
7358                   7479     9  0.010152628  89.56761
7359                   7480     6  0.006768419  89.57438
7360                   7481     6  0.006768419  89.58115
7361                   7482     9  0.010152628  89.59130
7362                   7483     9  0.010152628  89.60145
7363                   7484    12  0.013536837  89.61499
7364                   7485    10  0.011280698  89.62627
7365                   7486     7  0.007896488  89.63417
7366                   7487    15  0.016921046  89.65109
7367                   7488     9  0.010152628  89.66124
7368                   7489     8  0.009024558  89.67027
7369                   7490     9  0.010152628  89.68042
7370                   7491     7  0.007896488  89.68831
7371                   7492    10  0.011280698  89.69960
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7373                   7494     7  0.007896488  89.71426
7374                   7495     8  0.009024558  89.72328
7375                   7496     9  0.010152628  89.73344
7376                   7497     6  0.006768419  89.74021
7377                   7498     5  0.005640349  89.74585
7378                   7499     7  0.007896488  89.75374
7379                   7500    15  0.016921046  89.77066
7380                   7501     8  0.009024558  89.77969
7381                   7502     9  0.010152628  89.78984
7382                   7503     6  0.006768419  89.79661
7383                   7504     7  0.007896488  89.80451
7384                   7505     5  0.005640349  89.81015
7385                   7506     9  0.010152628  89.82030
7386                   7507     5  0.005640349  89.82594
7387                   7508     7  0.007896488  89.83384
7388                   7509    10  0.011280698  89.84512
7389                   7510     7  0.007896488  89.85301
7390                   7511    12  0.013536837  89.86655
7391                   7512     6  0.006768419  89.87332
7392                   7513     5  0.005640349  89.87896
7393                   7514     5  0.005640349  89.88460
7394                   7515    12  0.013536837  89.89814
7395                   7516     8  0.009024558  89.90716
7396                   7517    11  0.012408767  89.91957
7397                   7518    23  0.025945604  89.94551
7398                   7519    13  0.014664907  89.96018
7399                   7520     5  0.005640349  89.96582
7400                   7521     6  0.006768419  89.97259
7401                   7522     9  0.010152628  89.98274
7402                   7523     4  0.004512279  89.98725
7403                   7524     9  0.010152628  89.99741
7404                   7525     5  0.005640349  90.00305
7405                   7526     7  0.007896488  90.01094
7406                   7527     6  0.006768419  90.01771
7407                   7528     6  0.006768419  90.02448
7408                   7529     5  0.005640349  90.03012
7409                   7530    15  0.016921046  90.04704
7410                   7531    14  0.015792977  90.06283
7411                   7532     5  0.005640349  90.06847
7412                   7533    10  0.011280698  90.07975
7413                   7534     5  0.005640349  90.08539
7414                   7535     8  0.009024558  90.09442
7415                   7536     8  0.009024558  90.10344
7416                   7537     8  0.009024558  90.11247
7417                   7538     4  0.004512279  90.11698
7418                   7539     9  0.010152628  90.12713
7419                   7540    12  0.013536837  90.14067
7420                   7541     7  0.007896488  90.14857
7421                   7542     7  0.007896488  90.15646
7422                   7543    13  0.014664907  90.17113
7423                   7544     8  0.009024558  90.18015
7424                   7545     7  0.007896488  90.18805
7425                   7546    11  0.012408767  90.20046
7426                   7547    11  0.012408767  90.21287
7427                   7548    54  0.060915767  90.27378
7428                   7549     5  0.005640349  90.27942
7429                   7550     7  0.007896488  90.28732
7430                   7551     8  0.009024558  90.29634
7431                   7552     9  0.010152628  90.30650
7432                   7553     9  0.010152628  90.31665
7433                   7554     6  0.006768419  90.32342
7434                   7555    12  0.013536837  90.33695
7435                   7556    16  0.018049116  90.35500
7436                   7557    18  0.020305256  90.37531
7437                   7558     7  0.007896488  90.38321
7438                   7559    10  0.011280698  90.39449
7439                   7560     9  0.010152628  90.40464
7440                   7561    11  0.012408767  90.41705
7441                   7562     6  0.006768419  90.42382
7442                   7563     6  0.006768419  90.43058
7443                   7564     3  0.003384209  90.43397
7444                   7565     9  0.010152628  90.44412
7445                   7566    11  0.012408767  90.45653
7446                   7567     7  0.007896488  90.46443
7447                   7568     6  0.006768419  90.47119
7448                   7569     5  0.005640349  90.47684
7449                   7570     6  0.006768419  90.48360
7450                   7571     5  0.005640349  90.48924
7451                   7572     6  0.006768419  90.49601
7452                   7573     8  0.009024558  90.50504
7453                   7574     6  0.006768419  90.51181
7454                   7575    13  0.014664907  90.52647
7455                   7576    13  0.014664907  90.54114
7456                   7577    10  0.011280698  90.55242
7457                   7578     2  0.002256140  90.55467
7458                   7579     4  0.004512279  90.55918
7459                   7580     6  0.006768419  90.56595
7460                   7581     4  0.004512279  90.57046
7461                   7582     5  0.005640349  90.57611
7462                   7583     5  0.005640349  90.58175
7463                   7584     4  0.004512279  90.58626
7464                   7585     1  0.001128070  90.58739
7465                   7586     4  0.004512279  90.59190
7466                   7587     1  0.001128070  90.59303
7467                   7588     4  0.004512279  90.59754
7468                   7589     4  0.004512279  90.60205
7469                   7590     9  0.010152628  90.61220
7470                   7591     4  0.004512279  90.61672
7471                   7592     6  0.006768419  90.62348
7472                   7593    46  0.051891209  90.67538
7473                   7594     5  0.005640349  90.68102
7474                   7595    10  0.011280698  90.69230
7475                   7596     8  0.009024558  90.70132
7476                   7597     6  0.006768419  90.70809
7477                   7598     4  0.004512279  90.71260
7478                   7599     3  0.003384209  90.71599
7479                   7600     6  0.006768419  90.72275
7480                   7601     6  0.006768419  90.72952
7481                   7602     8  0.009024558  90.73855
7482                   7603     3  0.003384209  90.74193
7483                   7604     2  0.002256140  90.74419
7484                   7605    11  0.012408767  90.75660
7485                   7606     5  0.005640349  90.76224
7486                   7607     6  0.006768419  90.76901
7487                   7608     7  0.007896488  90.77690
7488                   7609    10  0.011280698  90.78818
7489                   7610     5  0.005640349  90.79382
7490                   7611     4  0.004512279  90.79833
7491                   7612     5  0.005640349  90.80398
7492                   7613     3  0.003384209  90.80736
7493                   7614     8  0.009024558  90.81638
7494                   7615    11  0.012408767  90.82879
7495                   7616    14  0.015792977  90.84459
7496                   7617     4  0.004512279  90.84910
7497                   7618     5  0.005640349  90.85474
7498                   7619     8  0.009024558  90.86376
7499                   7620     1  0.001128070  90.86489
7500                   7621     3  0.003384209  90.86828
7501                   7622     9  0.010152628  90.87843
7502                   7623    10  0.011280698  90.88971
7503                   7624     9  0.010152628  90.89986
7504                   7625     9  0.010152628  90.91001
7505                   7626     9  0.010152628  90.92017
7506                   7627     5  0.005640349  90.92581
7507                   7628     3  0.003384209  90.92919
7508                   7629     8  0.009024558  90.93822
7509                   7630     8  0.009024558  90.94724
7510                   7631    10  0.011280698  90.95852
7511                   7632    12  0.013536837  90.97206
7512                   7633     9  0.010152628  90.98221
7513                   7634     5  0.005640349  90.98785
7514                   7635     7  0.007896488  90.99575
7515                   7636    11  0.012408767  91.00816
7516                   7637    10  0.011280698  91.01944
7517                   7638    17  0.019177186  91.03861
7518                   7639     4  0.004512279  91.04313
7519                   7640     7  0.007896488  91.05102
7520                   7641     6  0.006768419  91.05779
7521                   7642     6  0.006768419  91.06456
7522                   7643     6  0.006768419  91.07133
7523                   7644     4  0.004512279  91.07584
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7525                   7646     6  0.006768419  91.09163
7526                   7647     7  0.007896488  91.09953
7527                   7648    14  0.015792977  91.11532
7528                   7649     5  0.005640349  91.12096
7529                   7650    13  0.014664907  91.13563
7530                   7651     8  0.009024558  91.14465
7531                   7652    12  0.013536837  91.15819
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7533                   7654    16  0.018049116  91.18526
7534                   7655    20  0.022561395  91.20782
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7539                   7660    13  0.014664907  91.27212
7540                   7661    11  0.012408767  91.28453
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7543                   7664     8  0.009024558  91.30484
7544                   7665     4  0.004512279  91.30935
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7548                   7669     7  0.007896488  91.33078
7549                   7670     7  0.007896488  91.33868
7550                   7671     9  0.010152628  91.34883
7551                   7672     9  0.010152628  91.35899
7552                   7673     8  0.009024558  91.36801
7553                   7674     5  0.005640349  91.37365
7554                   7675     3  0.003384209  91.37703
7555                   7676     8  0.009024558  91.38606
7556                   7677     7  0.007896488  91.39396
7557                   7678    10  0.011280698  91.40524
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7559                   7680     7  0.007896488  91.41877
7560                   7681    11  0.012408767  91.43118
7561                   7682     9  0.010152628  91.44133
7562                   7683     8  0.009024558  91.45036
7563                   7684     8  0.009024558  91.45938
7564                   7685     8  0.009024558  91.46841
7565                   7686     5  0.005640349  91.47405
7566                   7687     8  0.009024558  91.48307
7567                   7688     9  0.010152628  91.49323
7568                   7689    66  0.074452604  91.56768
7569                   7690    78  0.087989441  91.65567
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7574                   7695    11  0.012408767  91.69966
7575                   7696     4  0.004512279  91.70417
7576                   7697     9  0.010152628  91.71433
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7578                   7699     8  0.009024558  91.72561
7579                   7700     5  0.005640349  91.73125
7580                   7701     8  0.009024558  91.74027
7581                   7702     3  0.003384209  91.74366
7582                   7703     4  0.004512279  91.74817
7583                   7704     6  0.006768419  91.75494
7584                   7705     6  0.006768419  91.76171
7585                   7706    11  0.012408767  91.77412
7586                   7707     7  0.007896488  91.78201
7587                   7708     8  0.009024558  91.79104
7588                   7709     3  0.003384209  91.79442
7589                   7710     7  0.007896488  91.80232
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7591                   7712     5  0.005640349  91.81134
7592                   7713     6  0.006768419  91.81811
7593                   7714    11  0.012408767  91.83052
7594                   7715     9  0.010152628  91.84067
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7596                   7717     7  0.007896488  91.89369
7597                   7718     5  0.005640349  91.89933
7598                   7719     7  0.007896488  91.90723
7599                   7720     8  0.009024558  91.91625
7600                   7721     8  0.009024558  91.92528
7601                   7722     8  0.009024558  91.93430
7602                   7723     8  0.009024558  91.94333
7603                   7724     9  0.010152628  91.95348
7604                   7725     2  0.002256140  91.95573
7605                   7726     7  0.007896488  91.96363
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7610                   7731    11  0.012408767  91.99747
7611                   7732     4  0.004512279  92.00199
7612                   7733     6  0.006768419  92.00875
7613                   7734    14  0.015792977  92.02455
7614                   7735     3  0.003384209  92.02793
7615                   7736     9  0.010152628  92.03808
7616                   7737    10  0.011280698  92.04936
7617                   7738     7  0.007896488  92.05726
7618                   7739    11  0.012408767  92.06967
7619                   7740     9  0.010152628  92.07982
7620                   7741     9  0.010152628  92.08997
7621                   7742    11  0.012408767  92.10238
7622                   7743     7  0.007896488  92.11028
7623                   7744    12  0.013536837  92.12382
7624                   7745     9  0.010152628  92.13397
7625                   7746    19  0.021433325  92.15540
7626                   7747    11  0.012408767  92.16781
7627                   7748     6  0.006768419  92.17458
7628                   7749    14  0.015792977  92.19037
7629                   7750     8  0.009024558  92.19940
7630                   7751     7  0.007896488  92.20729
7631                   7752     7  0.007896488  92.21519
7632                   7753     9  0.010152628  92.22534
7633                   7754     5  0.005640349  92.23098
7634                   7755    10  0.011280698  92.24226
7635                   7756     2  0.002256140  92.24452
7636                   7757     8  0.009024558  92.25354
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7638                   7759     9  0.010152628  92.26595
7639                   7760    15  0.016921046  92.28287
7640                   7761     9  0.010152628  92.29303
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7642                   7763     9  0.010152628  92.31108
7643                   7764     2  0.002256140  92.31333
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7650                   7771    14  0.015792977  92.39343
7651                   7772    25  0.028201744  92.42163
7652                   7773    24  0.027073674  92.44870
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7654                   7775    12  0.013536837  92.47013
7655                   7776     6  0.006768419  92.47690
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7660                   7781     5  0.005640349  92.49834
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7663                   7784    11  0.012408767  92.52428
7664                   7785     8  0.009024558  92.53331
7665                   7786     8  0.009024558  92.54233
7666                   7787     4  0.004512279  92.54684
7667                   7788     7  0.007896488  92.55474
7668                   7789    10  0.011280698  92.56602
7669                   7790     9  0.010152628  92.57617
7670                   7791     7  0.007896488  92.58407
7671                   7792    12  0.013536837  92.59761
7672                   7793    50  0.056403488  92.65401
7673                   7794     4  0.004512279  92.65852
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7675                   7796     2  0.002256140  92.66867
7676                   7797    10  0.011280698  92.67996
7677                   7798    12  0.013536837  92.69349
7678                   7799    11  0.012408767  92.70590
7679                   7800    10  0.011280698  92.71718
7680                   7801     3  0.003384209  92.72057
7681                   7802     9  0.010152628  92.73072
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7683                   7804     9  0.010152628  92.74877
7684                   7805     7  0.007896488  92.75666
7685                   7806     7  0.007896488  92.76456
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7687                   7808     4  0.004512279  92.77697
7688                   7809     6  0.006768419  92.78374
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7690                   7811    10  0.011280698  92.80066
7691                   7812    13  0.014664907  92.81532
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7693                   7814    18  0.020305256  92.83676
7694                   7815     4  0.004512279  92.84127
7695                   7816     7  0.007896488  92.84917
7696                   7817    10  0.011280698  92.86045
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7698                   7819     6  0.006768419  92.87398
7699                   7820     7  0.007896488  92.88188
7700                   7821    10  0.011280698  92.89316
7701                   7822     2  0.002256140  92.89542
7702                   7823     8  0.009024558  92.90444
7703                   7824     4  0.004512279  92.90895
7704                   7825     6  0.006768419  92.91572
7705                   7826     5  0.005640349  92.92136
7706                   7827    28  0.031585953  92.95295
7707                   7828     9  0.010152628  92.96310
7708                   7829     1  0.001128070  92.96423
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7710                   7831     7  0.007896488  92.98115
7711                   7832     7  0.007896488  92.98905
7712                   7833     7  0.007896488  92.99694
7713                   7834     7  0.007896488  93.00484
7714                   7835     5  0.005640349  93.01048
7715                   7836     4  0.004512279  93.01499
7716                   7837     4  0.004512279  93.01950
7717                   7838     7  0.007896488  93.02740
7718                   7839    11  0.012408767  93.03981
7719                   7840    45  0.050763139  93.09057
7720                   7841     5  0.005640349  93.09621
7721                   7842     8  0.009024558  93.10524
7722                   7843     5  0.005640349  93.11088
7723                   7844    10  0.011280698  93.12216
7724                   7845    16  0.018049116  93.14021
7725                   7846    16  0.018049116  93.15826
7726                   7847     5  0.005640349  93.16390
7727                   7848    10  0.011280698  93.17518
7728                   7849    59  0.066556116  93.24173
7729                   7850     5  0.005640349  93.24737
7730                   7851     7  0.007896488  93.25527
7731                   7852     9  0.010152628  93.26542
7732                   7853     7  0.007896488  93.27332
7733                   7854     8  0.009024558  93.28234
7734                   7855     1  0.001128070  93.28347
7735                   7856     4  0.004512279  93.28798
7736                   7857     5  0.005640349  93.29363
7737                   7858    65  0.073324534  93.36695
7738                   7859   174  0.196284138  93.56323
7739                   7860   121  0.136496441  93.69973
7740                   7861    15  0.016921046  93.71665
7741                   7862    13  0.014664907  93.73132
7742                   7863    10  0.011280698  93.74260
7743                   7864    10  0.011280698  93.75388
7744                   7865    22  0.024817535  93.77870
7745                   7866    13  0.014664907  93.79336
7746                   7867     5  0.005640349  93.79900
7747                   7868     9  0.010152628  93.80915
7748                   7869     6  0.006768419  93.81592
7749                   7870     4  0.004512279  93.82043
7750                   7871     2  0.002256140  93.82269
7751                   7872     7  0.007896488  93.83059
7752                   7873     7  0.007896488  93.83848
7753                   7874     6  0.006768419  93.84525
7754                   7875     8  0.009024558  93.85428
7755                   7876     7  0.007896488  93.86217
7756                   7877    11  0.012408767  93.87458
7757                   7878     3  0.003384209  93.87797
7758                   7879    10  0.011280698  93.88925
7759                   7880    12  0.013536837  93.90278
7760                   7881     7  0.007896488  93.91068
7761                   7882    10  0.011280698  93.92196
7762                   7883    39  0.043994721  93.96595
7763                   7884     7  0.007896488  93.97385
7764                   7885     6  0.006768419  93.98062
7765                   7886     3  0.003384209  93.98400
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7767                   7888     7  0.007896488  93.99867
7768                   7889     3  0.003384209  94.00205
7769                   7890     6  0.006768419  94.00882
7770                   7891     2  0.002256140  94.01108
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7772                   7893     6  0.006768419  94.02236
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7774                   7895    11  0.012408767  94.05056
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7776                   7897     9  0.010152628  94.06861
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7778                   7899     8  0.009024558  94.08327
7779                   7900     5  0.005640349  94.08891
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7781                   7902     7  0.007896488  94.10132
7782                   7903     7  0.007896488  94.10922
7783                   7904     4  0.004512279  94.11373
7784                   7905     4  0.004512279  94.11824
7785                   7906     3  0.003384209  94.12163
7786                   7907     8  0.009024558  94.13065
7787                   7908    10  0.011280698  94.14193
7788                   7909     7  0.007896488  94.14983
7789                   7910    12  0.013536837  94.16337
7790                   7911     7  0.007896488  94.17126
7791                   7912     7  0.007896488  94.17916
7792                   7913     5  0.005640349  94.18480
7793                   7914     7  0.007896488  94.19270
7794                   7915    13  0.014664907  94.20736
7795                   7916     8  0.009024558  94.21639
7796                   7917    16  0.018049116  94.23444
7797                   7918     4  0.004512279  94.23895
7798                   7919     3  0.003384209  94.24233
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7800                   7921     5  0.005640349  94.25474
7801                   7922     7  0.007896488  94.26264
7802                   7923     6  0.006768419  94.26941
7803                   7924     9  0.010152628  94.27956
7804                   7925    13  0.014664907  94.29422
7805                   7926     8  0.009024558  94.30325
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7810                   7931    16  0.018049116  94.36529
7811                   7932    10  0.011280698  94.37657
7812                   7933     5  0.005640349  94.38221
7813                   7934     5  0.005640349  94.38785
7814                   7935     5  0.005640349  94.39349
7815                   7936     7  0.007896488  94.40139
7816                   7937     5  0.005640349  94.40703
7817                   7938     8  0.009024558  94.41605
7818                   7939    10  0.011280698  94.42734
7819                   7940    11  0.012408767  94.43974
7820                   7941     6  0.006768419  94.44651
7821                   7942     6  0.006768419  94.45328
7822                   7943     6  0.006768419  94.46005
7823                   7944     6  0.006768419  94.46682
7824                   7945     5  0.005640349  94.47246
7825                   7946     1  0.001128070  94.47359
7826                   7947     5  0.005640349  94.47923
7827                   7948     4  0.004512279  94.48374
7828                   7949     3  0.003384209  94.48712
7829                   7950     2  0.002256140  94.48938
7830                   7951     2  0.002256140  94.49164
7831                   7952     4  0.004512279  94.49615
7832                   7953     3  0.003384209  94.49953
7833                   7954     3  0.003384209  94.50292
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7835                   7956     1  0.001128070  94.50743
7836                   7957     8  0.009024558  94.51645
7837                   7958    15  0.016921046  94.53337
7838                   7959    18  0.020305256  94.55368
7839                   7960     2  0.002256140  94.55594
7840                   7961     7  0.007896488  94.56383
7841                   7962     5  0.005640349  94.56947
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7843                   7964     6  0.006768419  94.58075
7844                   7965     9  0.010152628  94.59091
7845                   7966     6  0.006768419  94.59767
7846                   7967     3  0.003384209  94.60106
7847                   7968     3  0.003384209  94.60444
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7850                   7971     3  0.003384209  94.61347
7851                   7972     5  0.005640349  94.61911
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7857                   7979    67  0.075580674  94.72966
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7859                   7981     8  0.009024558  94.74432
7860                   7982     5  0.005640349  94.74996
7861                   7983     7  0.007896488  94.75786
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7863                   7985     6  0.006768419  94.76688
7864                   7986    14  0.015792977  94.78268
7865                   7987     7  0.007896488  94.79057
7866                   7988    11  0.012408767  94.80298
7867                   7989     7  0.007896488  94.81088
7868                   7990     5  0.005640349  94.81652
7869                   7991    10  0.011280698  94.82780
7870                   7992     5  0.005640349  94.83344
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7875                   7997    17  0.019177186  94.93835
7876                   7998     7  0.007896488  94.94625
7877                   7999     5  0.005640349  94.95189
7878                   8000     5  0.005640349  94.95753
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7880                   8002     5  0.005640349  94.96881
7881                   8003    11  0.012408767  94.98122
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7884                   8006   121  0.136496441  95.12448
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7890                   8013     9  0.010152628  95.16058
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7895                   8018     1  0.001128070  95.20345
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7899                   8022     5  0.005640349  95.22488
7900                   8023    52  0.058659628  95.28354
7901                   8024    11  0.012408767  95.29595
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7904                   8027    12  0.013536837  95.32077
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7910                   8033    11  0.012408767  95.36927
7911                   8034     1  0.001128070  95.37040
7912                   8035     4  0.004512279  95.37491
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7915                   8038     4  0.004512279  95.38958
7916                   8039    10  0.011280698  95.40086
7917                   8040     4  0.004512279  95.40537
7918                   8041     8  0.009024558  95.41440
7919                   8042    12  0.013536837  95.42793
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7924                   8047     7  0.007896488  95.46516
7925                   8048     8  0.009024558  95.47418
7926                   8049     8  0.009024558  95.48321
7927                   8050    10  0.011280698  95.49449
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7934                   8057     4  0.004512279  95.52156
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7938                   8061     9  0.010152628  95.54074
7939                   8062    87  0.098142069  95.63888
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7941                   8064     4  0.004512279  95.65129
7942                   8065     2  0.002256140  95.65355
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7946                   8069    10  0.011280698  95.68062
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8000                   8124     2  0.002256140  96.08221
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8029                   8153     6  0.006768419  96.32926
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8031                   8155     9  0.010152628  96.34844
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8056                   8180     4  0.004512279  96.61579
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8064                   8188     8  0.009024558  96.65415
8065                   8189    14  0.015792977  96.66994
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8085                   8209    13  0.014664907  96.79741
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8088                   8212     8  0.009024558  96.83464
8089                   8213     2  0.002256140  96.83689
8090                   8214     7  0.007896488  96.84479
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8092                   8216     8  0.009024558  96.85720
8093                   8217    34  0.038354372  96.89555
8094                   8218    34  0.038354372  96.93391
8095                   8219    23  0.025945604  96.95985
8096                   8222     5  0.005640349  96.96549
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8108                   8234   101  0.113935046  97.14147
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8110                   8236     3  0.003384209  97.14937
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8112                   8238     5  0.005640349  97.15952
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8119                   8245     1  0.001128070  97.19675
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8150                   8277     3  0.003384209  97.38062
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8189                   8316    59  0.066556116  97.67730
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8210                   8337     7  0.007896488  97.77996
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8213                   8340     6  0.006768419  97.79237
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8216                   8343     4  0.004512279  97.80590
8217                   8344     6  0.006768419  97.81267
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8220                   8347     7  0.007896488  97.82847
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8223                   8350     6  0.006768419  97.83975
8224                   8351     1  0.001128070  97.84087
8225                   8352     1  0.001128070  97.84200
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8230                   8360     4  0.004512279  97.86569
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8250                   8380     6  0.006768419  97.92886
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8253                   8384     6  0.006768419  97.94014
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8256                   8387     6  0.006768419  97.95255
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8260                   8391     4  0.004512279  97.96383
8261                   8392     4  0.004512279  97.96835
8262                   8393     3  0.003384209  97.97173
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8264                   8395     3  0.003384209  97.97850
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8275                   8406     4  0.004512279  98.01573
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8280                   8411     2  0.002256140  98.03377
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8300                   8432     8  0.009024558  98.13304
8301                   8433     9  0.010152628  98.14320
8302                   8434     6  0.006768419  98.14997
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8310                   8443     2  0.002256140  98.18832
8311                   8444     9  0.010152628  98.19847
8312                   8445     4  0.004512279  98.20298
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8316                   8449     5  0.005640349  98.22103
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8318                   8451     7  0.007896488  98.23119
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8320                   8453     4  0.004512279  98.24134
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8325                   8458     8  0.009024558  98.26954
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8332                   8465    18  0.020305256  98.31015
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8336                   8469   152  0.171466603  98.51208
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8340                   8473     2  0.002256140  98.53577
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8350                   8484     4  0.004512279  98.56397
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8364                   8502     1  0.001128070  98.75574
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8412                   8558     5  0.005640349  98.93285
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8529                   8710     5  0.005640349  99.25999
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8535                   8721     1  0.001128070  99.27014
8536                   8722    30  0.033842093  99.30398
8537                   8723    36  0.040610511  99.34459
8538                   8724    42  0.047378930  99.39197
8539                   8726     3  0.003384209  99.39535
8540                   8728     5  0.005640349  99.40099
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8543                   8733     1  0.001128070  99.40664
8544                   8736     6  0.006768419  99.41340
8545                   8737     3  0.003384209  99.41679
8546                   8738     4  0.004512279  99.42130
8547                   8739     2  0.002256140  99.42356
8548                   8740     2  0.002256140  99.42581
8549                   8743     1  0.001128070  99.42694
8550                   8746     1  0.001128070  99.42807
8551                   8750     3  0.003384209  99.43145
8552                   8751     2  0.002256140  99.43371
8553                   8752     1  0.001128070  99.43484
8554                   8753     1  0.001128070  99.43597
8555                   8760     1  0.001128070  99.43709
8556                   8761     1  0.001128070  99.43822
8557                   8762     1  0.001128070  99.43935
8558                   8763     3  0.003384209  99.44273
8559                   8764     2  0.002256140  99.44499
8560                   8765     2  0.002256140  99.44725
8561                   8766     1  0.001128070  99.44837
8562                   8769     1  0.001128070  99.44950
8563                   8770     1  0.001128070  99.45063
8564                   8771     1  0.001128070  99.45176
8565                   8772     1  0.001128070  99.45289
8566                   8773     1  0.001128070  99.45401
8567                   8777     2  0.002256140  99.45627
8568                   8778     2  0.002256140  99.45853
8569                   8779     1  0.001128070  99.45965
8570                   8780     3  0.003384209  99.46304
8571                   8784     1  0.001128070  99.46417
8572                   8790     1  0.001128070  99.46529
8573                   8791     4  0.004512279  99.46981
8574                   8805     1  0.001128070  99.47094
8575                   8807     1  0.001128070  99.47206
8576                   8811     1  0.001128070  99.47319
8577                   8817     1  0.001128070  99.47432
8578                   8818     1  0.001128070  99.47545
8579                   8830     1  0.001128070  99.47658
8580                   8832     1  0.001128070  99.47770
8581                   8838     2  0.002256140  99.47996
8582                   8840     1  0.001128070  99.48109
8583                   8841     1  0.001128070  99.48222
8584                   8843     1  0.001128070  99.48334
8585                   8847     2  0.002256140  99.48560
8586                   8848     2  0.002256140  99.48786
8587                   8849     4  0.004512279  99.49237
8588                   8850     2  0.002256140  99.49462
8589                   8853     2  0.002256140  99.49688
8590                   8855     6  0.006768419  99.50365
8591                   8856     9  0.010152628  99.51380
8592                   8857     9  0.010152628  99.52395
8593                   8867     1  0.001128070  99.52508
8594                   8868     1  0.001128070  99.52621
8595                   8869     1  0.001128070  99.52734
8596                   8870     1  0.001128070  99.52847
8597                   8875     1  0.001128070  99.52959
8598                   8880     1  0.001128070  99.53072
8599                   8882     1  0.001128070  99.53185
8600                   8883     1  0.001128070  99.53298
8601                   8885     1  0.001128070  99.53411
8602                   8886     1  0.001128070  99.53524
8603                   8888     2  0.002256140  99.53749
8604                   8889     1  0.001128070  99.53862
8605                   8890     2  0.002256140  99.54088
8606                   8891     1  0.001128070  99.54200
8607                   8897     3  0.003384209  99.54539
8608                   8898     1  0.001128070  99.54652
8609                   8902     1  0.001128070  99.54764
8610                   8914     1  0.001128070  99.54877
8611                   8916     1  0.001128070  99.54990
8612                   8921     1  0.001128070  99.55103
8613                   8924     1  0.001128070  99.55216
8614                   8930     2  0.002256140  99.55441
8615                   8931     1  0.001128070  99.55554
8616                   8933     1  0.001128070  99.55667
8617                   8935     2  0.002256140  99.55892
8618                   8936     1  0.001128070  99.56005
8619                   8937     1  0.001128070  99.56118
8620                   8939     1  0.001128070  99.56231
8621                   8940     2  0.002256140  99.56457
8622                   8941     6  0.006768419  99.57133
8623                   8942     4  0.004512279  99.57585
8624                   8943     1  0.001128070  99.57697
8625                   8945     1  0.001128070  99.57810
8626                   8953     1  0.001128070  99.57923
8627                   8960     1  0.001128070  99.58036
8628                   8976     1  0.001128070  99.58149
8629                   8978     1  0.001128070  99.58261
8630                   8981     1  0.001128070  99.58374
8631                   8982     2  0.002256140  99.58600
8632                   8983     2  0.002256140  99.58825
8633                   8984     4  0.004512279  99.59277
8634                   8997     1  0.001128070  99.59389
8635                   8998     3  0.003384209  99.59728
8636                   8999     2  0.002256140  99.59954
8637                   9000     1  0.001128070  99.60066
8638                   9010     1  0.001128070  99.60179
8639                   9015     1  0.001128070  99.60292
8640                   9021     1  0.001128070  99.60405
8641                   9025     5  0.005640349  99.60969
8642                   9026     3  0.003384209  99.61307
8643                   9034     1  0.001128070  99.61420
8644                   9035     1  0.001128070  99.61533
8645                   9044     1  0.001128070  99.61646
8646                   9046     2  0.002256140  99.61871
8647                   9049     1  0.001128070  99.61984
8648                   9051     1  0.001128070  99.62097
8649                   9056     1  0.001128070  99.62210
8650                   9059     2  0.002256140  99.62435
8651                   9061     1  0.001128070  99.62548
8652                   9062     4  0.004512279  99.62999
8653                   9066     1  0.001128070  99.63112
8654                   9067     1  0.001128070  99.63225
8655                   9085     3  0.003384209  99.63563
8656                   9086     2  0.002256140  99.63789
8657                   9087     2  0.002256140  99.64015
8658                   9089     2  0.002256140  99.64240
8659                   9090     1  0.001128070  99.64353
8660                   9103     1  0.001128070  99.64466
8661                   9104     1  0.001128070  99.64579
8662                   9107     2  0.002256140  99.64804
8663                   9108     2  0.002256140  99.65030
8664                   9114     1  0.001128070  99.65143
8665                   9118     1  0.001128070  99.65255
8666                   9121     1  0.001128070  99.65368
8667                   9122     2  0.002256140  99.65594
8668                   9129     1  0.001128070  99.65707
8669                   9135     1  0.001128070  99.65819
8670                   9136     1  0.001128070  99.65932
8671                   9141     1  0.001128070  99.66045
8672                   9142     1  0.001128070  99.66158
8673                   9143     5  0.005640349  99.66722
8674                   9146     1  0.001128070  99.66835
8675                   9176     1  0.001128070  99.66948
8676                   9189     1  0.001128070  99.67060
8677                   9212     3  0.003384209  99.67399
8678                   9213     2  0.002256140  99.67624
8679                   9219     2  0.002256140  99.67850
8680                   9220     1  0.001128070  99.67963
8681                   9221     3  0.003384209  99.68301
8682                   9234     1  0.001128070  99.68414
8683                   9235     1  0.001128070  99.68527
8684                   9236     1  0.001128070  99.68640
8685                   9237     1  0.001128070  99.68752
8686                   9241     2  0.002256140  99.68978
8687                   9253     1  0.001128070  99.69091
8688                   9255     6  0.006768419  99.69768
8689                   9263     3  0.003384209  99.70106
8690                   9272     1  0.001128070  99.70219
8691                   9275     1  0.001128070  99.70332
8692                   9296     1  0.001128070  99.70445
8693                   9298     2  0.002256140  99.70670
8694                   9304     2  0.002256140  99.70896
8695                   9317     1  0.001128070  99.71009
8696                   9338     2  0.002256140  99.71234
8697                   9339     2  0.002256140  99.71460
8698                   9340     6  0.006768419  99.72137
8699                   9359     1  0.001128070  99.72249
8700                   9375     2  0.002256140  99.72475
8701                   9376     2  0.002256140  99.72701
8702                   9379     1  0.001128070  99.72814
8703                   9380     1  0.001128070  99.72926
8704                   9381     1  0.001128070  99.73039
8705                   9383     2  0.002256140  99.73265
8706                   9397     1  0.001128070  99.73378
8707                   9398     1  0.001128070  99.73490
8708                   9414     1  0.001128070  99.73603
8709                   9419     1  0.001128070  99.73716
8710                   9447     1  0.001128070  99.73829
8711                   9448    25  0.028201744  99.76649
8712                   9449    14  0.015792977  99.78228
8713                   9450    11  0.012408767  99.79469
8714                   9463     2  0.002256140  99.79695
8715                   9470     1  0.001128070  99.79808
8716                   9509     1  0.001128070  99.79920
8717                   9526     1  0.001128070  99.80033
8718                   9541     1  0.001128070  99.80146
8719                   9555     1  0.001128070  99.80259
8720                   9556     1  0.001128070  99.80372
8721                   9561     1  0.001128070  99.80484
8722                   9606     5  0.005640349  99.81048
8723                   9607     2  0.002256140  99.81274
8724                   9608     2  0.002256140  99.81500
8725                   9621     1  0.001128070  99.81612
8726                   9638     1  0.001128070  99.81725
8727                   9656     1  0.001128070  99.81838
8728                   9666     1  0.001128070  99.81951
8729                   9763     1  0.001128070  99.82064
8730                   9764     3  0.003384209  99.82402
8731                   9765     4  0.004512279  99.82853
8732                   9766     3  0.003384209  99.83192
8733                   9795     1  0.001128070  99.83305
8734                   9817     1  0.001128070  99.83417
8735                   9819     1  0.001128070  99.83530
8736                   9820     1  0.001128070  99.83643
8737                   9873     1  0.001128070  99.83756
8738                   9874     2  0.002256140  99.83981
8739                   9879     2  0.002256140  99.84207
8740                   9900     1  0.001128070  99.84320
8741                   9912     1  0.001128070  99.84433
8742                   9913     1  0.001128070  99.84545
8743                   9919     1  0.001128070  99.84658
8744                   9920     4  0.004512279  99.85109
8745                   9921     3  0.003384209  99.85448
8746                   9975     1  0.001128070  99.85561
8747                   9976     1  0.001128070  99.85674
8748                  10016     1  0.001128070  99.85786
8749                  10017     1  0.001128070  99.85899
8750                  10133     1  0.001128070  99.86012
8751                  10136     1  0.001128070  99.86125
8752                  10138     1  0.001128070  99.86238
8753                  10158     1  0.001128070  99.86350
8754                  10170     1  0.001128070  99.86463
8755                  10220     1  0.001128070  99.86576
8756                  10221     1  0.001128070  99.86689
8757                  10253     4  0.004512279  99.87140
8758                  10290     1  0.001128070  99.87253
8759                  10388     1  0.001128070  99.87366
8760                  10434     1  0.001128070  99.87478
8761                  10532     1  0.001128070  99.87591
8762                  10544     2  0.002256140  99.87817
8763                  10554     1  0.001128070  99.87930
8764                  10567     1  0.001128070  99.88042
8765                  10654     1  0.001128070  99.88155
8766                  10672    22  0.024817535  99.90637
8767                  10673    24  0.027073674  99.93344
8768                  10674    34  0.038354372  99.97180
8769                  10695     1  0.001128070  99.97293
8770                  10837     2  0.002256140  99.97518
8771                  10898     1  0.001128070  99.97631
8772                  10908     1  0.001128070  99.97744
8773                  11142     1  0.001128070  99.97857
8774                  11145     1  0.001128070  99.97969
8775                  11242     1  0.001128070  99.98082
8776                  11243     2  0.002256140  99.98308
8777                  11425     1  0.001128070  99.98421
8778                  11465     1  0.001128070  99.98534
8779                  11549     1  0.001128070  99.98646
8780                  11550     2  0.002256140  99.98872
8781                  11621     1  0.001128070  99.98985
8782                  11643     1  0.001128070  99.99098
8783                  11644     1  0.001128070  99.99210
8784                  11875     1  0.001128070  99.99323
8785                  11887     1  0.001128070  99.99436
8786                  11902     1  0.001128070  99.99549
8787                  12146     1  0.001128070  99.99662
8788                  12153     1  0.001128070  99.99774
8789                  12210     1  0.001128070  99.99887
8790                  17775     1  0.001128070 100.00000

phishing_bruto |> group_by(time_domain_activation) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 12,841 × 4
# Groups:   time_domain_activation [8,790]
   time_domain_activation phishing     n  porc
                    <int> <fct>    <int> <dbl>
 1                     -1 0        13492  55.4
 2                     -1 1        10862  44.6
 3                      1 0            1 100  
 4                      2 0            1  16.7
 5                      2 1            5  83.3
 6                      3 0            2  12.5
 7                      3 1           14  87.5
 8                      4 0            4  18.2
 9                      4 1           18  81.8
10                      5 0            7  24.1
# … with 12,831 more rows

phishing_bruto |> summarise(min = min(time_domain_activation),
                            max = max(time_domain_activation))

  min   max
1  -1 17775

Fijándonos primeramente en los valores que puede tomar la variable, vemos que el valor mínimo que puede tomar esta variable es el -1. En este caso, dicho valor indica que la característica en cuestión (tiempo de activación del dominio), no se aplica a determinadas observaciones. Por otro lado, en cuanto al máximo, tenemos un número de días que a priori parece ser demasiado elevado. Convendría observar la distribución de la variable:

# Visualización
ggplot(phishing_bruto, aes(x = time_domain_activation)) + 
  geom_density(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por tiempo de la activación del dominio", 
       x = "Tiempo de la activación del dominio (en días)", y = "Densidad", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Parece que a partir de un valor de 10000 días aproximadamente, apenas podemos visualizar datos, y parece que los registros con valores superiores, presentan únicamente webs legítimas:

phishing_bruto |> filter(time_domain_activation >= 10000) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing   n       porc
1        0 126 99.2125984
2        1   1  0.7874016

Por lo tanto, teniendo esto en cuenta junto a su distribución asimétrica, podríamos imputarle 1000 a todo lo que supere dicho valor, ya que tener números tan elevados en esta variable y con muy pocos registros, únicamente aumentaría la complejidad del modelo.

time_domain_expiration

# Anañlisis cuantitativo
phishing_bruto |> count(time_domain_expiration) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

     time_domain_expiration     n         porc     cumul
1                        -1 26210 29.566708405  29.56671
2                         0    66  0.074452604  29.64116
3                         1   111  0.125215743  29.76638
4                         2    75  0.084605232  29.85098
5                         3    68  0.076708744  29.92769
6                         4    78  0.087989441  30.01568
7                         5   109  0.122959604  30.13864
8                         6   107  0.120703464  30.25934
9                         7   118  0.133112232  30.39246
10                        8    56  0.063171907  30.45563
11                        9    81  0.091373651  30.54700
12                       10    54  0.060915767  30.60792
13                       11    89  0.100398209  30.70832
14                       12    65  0.073324534  30.78164
15                       13    41  0.046250860  30.82789
16                       14    96  0.108294697  30.93619
17                       15    83  0.093629790  31.02981
18                       16    83  0.093629790  31.12344
19                       17    77  0.086861372  31.21031
20                       18    66  0.074452604  31.28476
21                       19    97  0.109422767  31.39418
22                       20    98  0.110550836  31.50473
23                       21    81  0.091373651  31.59611
24                       22    69  0.077836813  31.67394
25                       23    69  0.077836813  31.75178
26                       24    83  0.093629790  31.84541
27                       25    96  0.108294697  31.95370
28                       26    82  0.092501720  32.04621
29                       27   116  0.130856092  32.17706
30                       28   114  0.128599953  32.30566
31                       29    82  0.092501720  32.39816
32                       30    76  0.085733302  32.48390
33                       31    87  0.098142069  32.58204
34                       32   107  0.120703464  32.70274
35                       33   124  0.139880650  32.84262
36                       34   112  0.126343813  32.96897
37                       35    87  0.098142069  33.06711
38                       36    91  0.102654348  33.16976
39                       37    87  0.098142069  33.26791
40                       38   101  0.113935046  33.38184
41                       39   106  0.119575395  33.50142
42                       40   105  0.118447325  33.61986
43                       41    69  0.077836813  33.69770
44                       42    95  0.107166627  33.80487
45                       43   132  0.148905208  33.95377
46                       44   116  0.130856092  34.08463
47                       45   113  0.127471883  34.21210
48                       46   129  0.145520999  34.35762
49                       47   101  0.113935046  34.47156
50                       48   122  0.137624511  34.60918
51                       49    78  0.087989441  34.69717
52                       50   107  0.120703464  34.81787
53                       51    73  0.082349092  34.90022
54                       52    83  0.093629790  34.99385
55                       53    71  0.080092953  35.07394
56                       54   110  0.124087674  35.19803
57                       55   117  0.131984162  35.33002
58                       56   105  0.118447325  35.44846
59                       57   131  0.147777139  35.59624
60                       58   123  0.138752580  35.73499
61                       59   103  0.116191185  35.85119
62                       60   137  0.154545557  36.00573
63                       61    82  0.092501720  36.09823
64                       62   158  0.178235022  36.27647
65                       63   110  0.124087674  36.40056
66                       64    70  0.078964883  36.47952
67                       65    97  0.109422767  36.58894
68                       66   107  0.120703464  36.70965
69                       67   100  0.112806976  36.82245
70                       68   120  0.135368371  36.95782
71                       69    94  0.106038557  37.06386
72                       70   115  0.129728022  37.19359
73                       71   138  0.155673627  37.34926
74                       72   110  0.124087674  37.47335
75                       73   157  0.177106952  37.65046
76                       74   124  0.139880650  37.79034
77                       75   118  0.133112232  37.92345
78                       76    95  0.107166627  38.03062
79                       77   110  0.124087674  38.15470
80                       78    94  0.106038557  38.26074
81                       79   117  0.131984162  38.39273
82                       80    99  0.111678906  38.50441
83                       81    90  0.101526278  38.60593
84                       82    69  0.077836813  38.68377
85                       83    67  0.075580674  38.75935
86                       84   112  0.126343813  38.88569
87                       85   103  0.116191185  39.00188
88                       86   111  0.125215743  39.12710
89                       87   102  0.115063116  39.24216
90                       88   119  0.134240301  39.37640
91                       89   115  0.129728022  39.50613
92                       90    99  0.111678906  39.61781
93                       91   116  0.130856092  39.74867
94                       92   129  0.145520999  39.89419
95                       93   123  0.138752580  40.03294
96                       94   117  0.131984162  40.16492
97                       95    92  0.103782418  40.26871
98                       96    81  0.091373651  40.36008
99                       97   109  0.122959604  40.48304
100                      98   118  0.133112232  40.61615
101                      99   122  0.137624511  40.75378
102                     100   103  0.116191185  40.86997
103                     101    99  0.111678906  40.98165
104                     102    98  0.110550836  41.09220
105                     103    92  0.103782418  41.19598
106                     104   137  0.154545557  41.35053
107                     105   103  0.116191185  41.46672
108                     106   130  0.146649069  41.61337
109                     107   136  0.153417487  41.76678
110                     108   135  0.152289418  41.91907
111                     109   127  0.143264859  42.06234
112                     110   116  0.130856092  42.19319
113                     111    87  0.098142069  42.29134
114                     112   118  0.133112232  42.42445
115                     113    98  0.110550836  42.53500
116                     114    91  0.102654348  42.63765
117                     115    94  0.106038557  42.74369
118                     116    88  0.099270139  42.84296
119                     117   102  0.115063116  42.95802
120                     118   112  0.126343813  43.08437
121                     119   114  0.128599953  43.21297
122                     120   112  0.126343813  43.33931
123                     121   141  0.159057836  43.49837
124                     122   116  0.130856092  43.62923
125                     123   124  0.139880650  43.76911
126                     124   108  0.121831534  43.89094
127                     125   153  0.172594673  44.06353
128                     126   102  0.115063116  44.17860
129                     127   123  0.138752580  44.31735
130                     128   112  0.126343813  44.44369
131                     129   108  0.121831534  44.56552
132                     130   125  0.141008720  44.70653
133                     131   116  0.130856092  44.83739
134                     132   193  0.217717464  45.05511
135                     133   212  0.239150789  45.29426
136                     134   134  0.151161348  45.44542
137                     135   132  0.148905208  45.59432
138                     136    97  0.109422767  45.70375
139                     137   121  0.136496441  45.84024
140                     138   101  0.113935046  45.95418
141                     139   132  0.148905208  46.10308
142                     140   112  0.126343813  46.22943
143                     141   119  0.134240301  46.36367
144                     142   107  0.120703464  46.48437
145                     143   121  0.136496441  46.62087
146                     144   119  0.134240301  46.75511
147                     145   144  0.162442045  46.91755
148                     146   120  0.135368371  47.05292
149                     147   161  0.181619231  47.23454
150                     148    99  0.111678906  47.34622
151                     149   128  0.144392929  47.49061
152                     150   131  0.147777139  47.63839
153                     151   117  0.131984162  47.77037
154                     152   104  0.117319255  47.88769
155                     153   130  0.146649069  48.03434
156                     154   114  0.128599953  48.16294
157                     155   133  0.150033278  48.31297
158                     156   104  0.117319255  48.43029
159                     157   114  0.128599953  48.55889
160                     158   100  0.112806976  48.67170
161                     159    95  0.107166627  48.77886
162                     160   126  0.142136790  48.92100
163                     161   107  0.120703464  49.04170
164                     162   146  0.164698185  49.20640
165                     163   128  0.144392929  49.35080
166                     164   104  0.117319255  49.46812
167                     165   137  0.154545557  49.62266
168                     166   116  0.130856092  49.75352
169                     167   136  0.153417487  49.90693
170                     168    98  0.110550836  50.01749
171                     169   128  0.144392929  50.16188
172                     170   114  0.128599953  50.29048
173                     171   162  0.182747301  50.47323
174                     172   122  0.137624511  50.61085
175                     173   129  0.145520999  50.75637
176                     174   139  0.156801697  50.91317
177                     175   129  0.145520999  51.05869
178                     176   160  0.180491162  51.23918
179                     177   133  0.150033278  51.38922
180                     178   125  0.141008720  51.53023
181                     179   100  0.112806976  51.64303
182                     180   130  0.146649069  51.78968
183                     181   128  0.144392929  51.93408
184                     182   130  0.146649069  52.08072
185                     183   102  0.115063116  52.19579
186                     184   117  0.131984162  52.32777
187                     185    93  0.104910488  52.43268
188                     186   103  0.116191185  52.54887
189                     187    98  0.110550836  52.65942
190                     188    97  0.109422767  52.76885
191                     189   102  0.115063116  52.88391
192                     190   129  0.145520999  53.02943
193                     191   142  0.160185906  53.18962
194                     192   107  0.120703464  53.31032
195                     193   126  0.142136790  53.45246
196                     194   127  0.143264859  53.59572
197                     195   138  0.155673627  53.75140
198                     196   108  0.121831534  53.87323
199                     197   100  0.112806976  53.98603
200                     198   108  0.121831534  54.10787
201                     199    99  0.111678906  54.21954
202                     200   121  0.136496441  54.35604
203                     201   119  0.134240301  54.49028
204                     202   120  0.135368371  54.62565
205                     203   141  0.159057836  54.78471
206                     204   117  0.131984162  54.91669
207                     205    92  0.103782418  55.02047
208                     206    98  0.110550836  55.13103
209                     207    88  0.099270139  55.23030
210                     208   130  0.146649069  55.37694
211                     209   108  0.121831534  55.49878
212                     210   138  0.155673627  55.65445
213                     211   116  0.130856092  55.78531
214                     212   137  0.154545557  55.93985
215                     213   137  0.154545557  56.09440
216                     214   141  0.159057836  56.25345
217                     215   167  0.188387650  56.44184
218                     216   105  0.118447325  56.56029
219                     217    97  0.109422767  56.66971
220                     218   116  0.130856092  56.80057
221                     219   150  0.169210464  56.96978
222                     220   115  0.129728022  57.09951
223                     221   109  0.122959604  57.22247
224                     222   137  0.154545557  57.37701
225                     223   114  0.128599953  57.50561
226                     224   113  0.127471883  57.63308
227                     225    95  0.107166627  57.74025
228                     226    82  0.092501720  57.83275
229                     227   103  0.116191185  57.94894
230                     228   110  0.124087674  58.07303
231                     229   126  0.142136790  58.21517
232                     230   125  0.141008720  58.35618
233                     231   119  0.134240301  58.49042
234                     232   106  0.119575395  58.60999
235                     233   160  0.180491162  58.79048
236                     234   104  0.117319255  58.90780
237                     235   103  0.116191185  59.02399
238                     236   117  0.131984162  59.15598
239                     237   144  0.162442045  59.31842
240                     238   153  0.172594673  59.49101
241                     239   149  0.168082394  59.65910
242                     240    82  0.092501720  59.75160
243                     241   100  0.112806976  59.86441
244                     242   122  0.137624511  60.00203
245                     243    92  0.103782418  60.10581
246                     244   119  0.134240301  60.24005
247                     245   128  0.144392929  60.38445
248                     246   131  0.147777139  60.53222
249                     247   111  0.125215743  60.65744
250                     248   112  0.126343813  60.78378
251                     249   104  0.117319255  60.90110
252                     250   100  0.112806976  61.01391
253                     251   123  0.138752580  61.15266
254                     252    99  0.111678906  61.26434
255                     253   113  0.127471883  61.39181
256                     254   120  0.135368371  61.52718
257                     255   124  0.139880650  61.66706
258                     256   103  0.116191185  61.78325
259                     257   102  0.115063116  61.89832
260                     258   106  0.119575395  62.01789
261                     259   109  0.122959604  62.14085
262                     260   102  0.115063116  62.25591
263                     261    98  0.110550836  62.36646
264                     262   105  0.118447325  62.48491
265                     263    91  0.102654348  62.58757
266                     264   112  0.126343813  62.71391
267                     265    91  0.102654348  62.81656
268                     266   102  0.115063116  62.93163
269                     267   103  0.116191185  63.04782
270                     268   107  0.120703464  63.16852
271                     269   116  0.130856092  63.29938
272                     270   103  0.116191185  63.41557
273                     271    83  0.093629790  63.50920
274                     272   106  0.119575395  63.62877
275                     273   106  0.119575395  63.74835
276                     274   127  0.143264859  63.89162
277                     275   116  0.130856092  64.02247
278                     276    93  0.104910488  64.12738
279                     277   106  0.119575395  64.24696
280                     278   117  0.131984162  64.37894
281                     279   101  0.113935046  64.49288
282                     280   155  0.174850813  64.66773
283                     281   184  0.207564836  64.87529
284                     282   179  0.201924487  65.07722
285                     283   131  0.147777139  65.22499
286                     284   122  0.137624511  65.36262
287                     285   149  0.168082394  65.53070
288                     286    91  0.102654348  65.63335
289                     287   112  0.126343813  65.75970
290                     288   108  0.121831534  65.88153
291                     289    93  0.104910488  65.98644
292                     290    92  0.103782418  66.09022
293                     291   100  0.112806976  66.20303
294                     292    96  0.108294697  66.31132
295                     293   105  0.118447325  66.42977
296                     294   118  0.133112232  66.56288
297                     295   101  0.113935046  66.67682
298                     296   124  0.139880650  66.81670
299                     297    97  0.109422767  66.92612
300                     298   165  0.186131510  67.11225
301                     299   150  0.169210464  67.28146
302                     300   127  0.143264859  67.42473
303                     301   151  0.170338534  67.59507
304                     302   121  0.136496441  67.73156
305                     303   130  0.146649069  67.87821
306                     304   111  0.125215743  68.00343
307                     305    98  0.110550836  68.11398
308                     306   104  0.117319255  68.23130
309                     307    99  0.111678906  68.34298
310                     308    97  0.109422767  68.45240
311                     309   101  0.113935046  68.56634
312                     310   118  0.133112232  68.69945
313                     311   107  0.120703464  68.82015
314                     312   125  0.141008720  68.96116
315                     313   125  0.141008720  69.10217
316                     314   182  0.205308696  69.30748
317                     315   117  0.131984162  69.43946
318                     316   103  0.116191185  69.55565
319                     317    91  0.102654348  69.65831
320                     318   136  0.153417487  69.81173
321                     319    92  0.103782418  69.91551
322                     320   131  0.147777139  70.06328
323                     321   130  0.146649069  70.20993
324                     322   119  0.134240301  70.34417
325                     323   138  0.155673627  70.49985
326                     324   118  0.133112232  70.63296
327                     325   125  0.141008720  70.77397
328                     326   134  0.151161348  70.92513
329                     327   129  0.145520999  71.07065
330                     328   135  0.152289418  71.22294
331                     329   104  0.117319255  71.34026
332                     330   126  0.142136790  71.48240
333                     331   142  0.160185906  71.64258
334                     332   119  0.134240301  71.77682
335                     333   138  0.155673627  71.93250
336                     334   102  0.115063116  72.04756
337                     335   118  0.133112232  72.18067
338                     336   124  0.139880650  72.32055
339                     337   119  0.134240301  72.45479
340                     338   131  0.147777139  72.60257
341                     339   105  0.118447325  72.72102
342                     340   146  0.164698185  72.88572
343                     341   121  0.136496441  73.02221
344                     342   128  0.144392929  73.16660
345                     343   129  0.145520999  73.31213
346                     344   115  0.129728022  73.44185
347                     345   111  0.125215743  73.56707
348                     346   121  0.136496441  73.70357
349                     347   131  0.147777139  73.85134
350                     348   123  0.138752580  73.99010
351                     349   156  0.175978883  74.16607
352                     350   172  0.194027999  74.36010
353                     351   155  0.174850813  74.53495
354                     352   191  0.215461324  74.75041
355                     353   181  0.204180627  74.95460
356                     354   130  0.146649069  75.10124
357                     355   177  0.199668347  75.30091
358                     356   151  0.170338534  75.47125
359                     357   118  0.133112232  75.60436
360                     358   126  0.142136790  75.74650
361                     359   160  0.180491162  75.92699
362                     360   108  0.121831534  76.04882
363                     361   182  0.205308696  76.25413
364                     362   142  0.160185906  76.41432
365                     363   106  0.119575395  76.53389
366                     364    90  0.101526278  76.63542
367                     365    84  0.094757860  76.73018
368                     366    73  0.082349092  76.81253
369                     367    62  0.069940325  76.88247
370                     368    73  0.082349092  76.96482
371                     369    41  0.046250860  77.01107
372                     370    49  0.055275418  77.06634
373                     371    46  0.051891209  77.11823
374                     372    59  0.066556116  77.18479
375                     373    46  0.051891209  77.23668
376                     374    55  0.062043837  77.29872
377                     375    55  0.062043837  77.36077
378                     376   111  0.125215743  77.48598
379                     377    42  0.047378930  77.53336
380                     378    62  0.069940325  77.60330
381                     379    36  0.040610511  77.64391
382                     380    48  0.054147348  77.69806
383                     381    43  0.048507000  77.74657
384                     382    35  0.039482442  77.78605
385                     383    32  0.036098232  77.82215
386                     384    40  0.045122790  77.86727
387                     385    49  0.055275418  77.92255
388                     386    46  0.051891209  77.97444
389                     387    40  0.045122790  78.01956
390                     388    46  0.051891209  78.07145
391                     389    42  0.047378930  78.11883
392                     390    32  0.036098232  78.15493
393                     391    39  0.043994721  78.19892
394                     392    52  0.058659628  78.25758
395                     393    38  0.042866651  78.30045
396                     394    35  0.039482442  78.33993
397                     395    32  0.036098232  78.37603
398                     396    24  0.027073674  78.40310
399                     397    33  0.037226302  78.44033
400                     398    34  0.038354372  78.47869
401                     399    35  0.039482442  78.51817
402                     400    27  0.030457884  78.54863
403                     401    33  0.037226302  78.58585
404                     402    46  0.051891209  78.63774
405                     403    37  0.041738581  78.67948
406                     404    48  0.054147348  78.73363
407                     405    60  0.067684186  78.80131
408                     406    74  0.083477162  78.88479
409                     407    72  0.081221023  78.96601
410                     408    38  0.042866651  79.00888
411                     409    39  0.043994721  79.05287
412                     410    37  0.041738581  79.09461
413                     411    29  0.032714023  79.12733
414                     412    25  0.028201744  79.15553
415                     413    34  0.038354372  79.19388
416                     414    18  0.020305256  79.21419
417                     415    21  0.023689465  79.23788
418                     416    30  0.033842093  79.27172
419                     417    29  0.032714023  79.30443
420                     418    17  0.019177186  79.32361
421                     419    25  0.028201744  79.35181
422                     420    13  0.014664907  79.36648
423                     421    14  0.015792977  79.38227
424                     422    28  0.031585953  79.41385
425                     423    40  0.045122790  79.45898
426                     424    19  0.021433325  79.48041
427                     425    34  0.038354372  79.51877
428                     426    16  0.018049116  79.53681
429                     427    21  0.023689465  79.56050
430                     428    23  0.025945604  79.58645
431                     429    17  0.019177186  79.60563
432                     430    21  0.023689465  79.62932
433                     431    24  0.027073674  79.65639
434                     432    26  0.029329814  79.68572
435                     433    20  0.022561395  79.70828
436                     434    21  0.023689465  79.73197
437                     435    39  0.043994721  79.77597
438                     436    29  0.032714023  79.80868
439                     437    27  0.030457884  79.83914
440                     438    21  0.023689465  79.86283
441                     439    26  0.029329814  79.89216
442                     440    23  0.025945604  79.91810
443                     441    18  0.020305256  79.93841
444                     442    13  0.014664907  79.95307
445                     443    29  0.032714023  79.98579
446                     444    17  0.019177186  80.00496
447                     445    27  0.030457884  80.03542
448                     446    17  0.019177186  80.05460
449                     447    18  0.020305256  80.07490
450                     448    21  0.023689465  80.09859
451                     449    10  0.011280698  80.10987
452                     450    27  0.030457884  80.14033
453                     451    21  0.023689465  80.16402
454                     452    22  0.024817535  80.18884
455                     453    29  0.032714023  80.22155
456                     454    26  0.029329814  80.25088
457                     455    20  0.022561395  80.27344
458                     456    19  0.021433325  80.29488
459                     457    34  0.038354372  80.33323
460                     458    22  0.024817535  80.35805
461                     459    22  0.024817535  80.38287
462                     460    13  0.014664907  80.39753
463                     461    10  0.011280698  80.40881
464                     462    23  0.025945604  80.43476
465                     463    27  0.030457884  80.46522
466                     464    24  0.027073674  80.49229
467                     465    29  0.032714023  80.52500
468                     466    22  0.024817535  80.54982
469                     467    36  0.040610511  80.59043
470                     468    19  0.021433325  80.61187
471                     469    14  0.015792977  80.62766
472                     470    27  0.030457884  80.65812
473                     471    17  0.019177186  80.67729
474                     472    78  0.087989441  80.76528
475                     473   100  0.112806976  80.87809
476                     474    66  0.074452604  80.95254
477                     475    30  0.033842093  80.98638
478                     476    18  0.020305256  81.00669
479                     477    18  0.020305256  81.02699
480                     478    21  0.023689465  81.05068
481                     479    26  0.029329814  81.08001
482                     480    22  0.024817535  81.10483
483                     481    14  0.015792977  81.12062
484                     482    33  0.037226302  81.15785
485                     483    20  0.022561395  81.18041
486                     484    22  0.024817535  81.20523
487                     485    19  0.021433325  81.22666
488                     486    20  0.022561395  81.24922
489                     487    11  0.012408767  81.26163
490                     488    27  0.030457884  81.29209
491                     489    28  0.031585953  81.32368
492                     490    18  0.020305256  81.34398
493                     491    41  0.046250860  81.39023
494                     492    37  0.041738581  81.43197
495                     493    64  0.072196465  81.50417
496                     494    27  0.030457884  81.53463
497                     495    25  0.028201744  81.56283
498                     496    16  0.018049116  81.58088
499                     497    21  0.023689465  81.60457
500                     498    24  0.027073674  81.63164
501                     499    14  0.015792977  81.64743
502                     500    22  0.024817535  81.67225
503                     501    36  0.040610511  81.71286
504                     502    19  0.021433325  81.73429
505                     503    23  0.025945604  81.76024
506                     504    21  0.023689465  81.78393
507                     505    23  0.025945604  81.80988
508                     506    25  0.028201744  81.83808
509                     507    17  0.019177186  81.85725
510                     508    43  0.048507000  81.90576
511                     509    21  0.023689465  81.92945
512                     510    29  0.032714023  81.96216
513                     511    42  0.047378930  82.00954
514                     512    21  0.023689465  82.03323
515                     513    18  0.020305256  82.05354
516                     514    17  0.019177186  82.07272
517                     515    35  0.039482442  82.11220
518                     516    27  0.030457884  82.14266
519                     517    19  0.021433325  82.16409
520                     518    21  0.023689465  82.18778
521                     519    21  0.023689465  82.21147
522                     520    18  0.020305256  82.23177
523                     521    19  0.021433325  82.25321
524                     522    17  0.019177186  82.27238
525                     523    22  0.024817535  82.29720
526                     524    15  0.016921046  82.31412
527                     525    18  0.020305256  82.33443
528                     526    23  0.025945604  82.36037
529                     527    21  0.023689465  82.38406
530                     528    25  0.028201744  82.41226
531                     529    14  0.015792977  82.42806
532                     530    15  0.016921046  82.44498
533                     531    20  0.022561395  82.46754
534                     532    32  0.036098232  82.50364
535                     533    19  0.021433325  82.52507
536                     534    19  0.021433325  82.54650
537                     535    24  0.027073674  82.57358
538                     536    35  0.039482442  82.61306
539                     537    17  0.019177186  82.63224
540                     538    17  0.019177186  82.65142
541                     539    32  0.036098232  82.68751
542                     540    31  0.034970163  82.72248
543                     541    15  0.016921046  82.73940
544                     542    26  0.029329814  82.76873
545                     543    20  0.022561395  82.79130
546                     544    14  0.015792977  82.80709
547                     545    15  0.016921046  82.82401
548                     546    12  0.013536837  82.83755
549                     547    27  0.030457884  82.86800
550                     548    18  0.020305256  82.88831
551                     549    30  0.033842093  82.92215
552                     550    22  0.024817535  82.94697
553                     551    26  0.029329814  82.97630
554                     552    42  0.047378930  83.02368
555                     553    13  0.014664907  83.03834
556                     554    19  0.021433325  83.05978
557                     555    18  0.020305256  83.08008
558                     556    25  0.028201744  83.10828
559                     557    22  0.024817535  83.13310
560                     558    27  0.030457884  83.16356
561                     559    21  0.023689465  83.18725
562                     560    22  0.024817535  83.21207
563                     561    15  0.016921046  83.22899
564                     562    17  0.019177186  83.24816
565                     563    22  0.024817535  83.27298
566                     564    18  0.020305256  83.29329
567                     565    25  0.028201744  83.32149
568                     566    22  0.024817535  83.34631
569                     567    17  0.019177186  83.36548
570                     568    22  0.024817535  83.39030
571                     569    29  0.032714023  83.42301
572                     570    22  0.024817535  83.44783
573                     571    37  0.041738581  83.48957
574                     572    18  0.020305256  83.50988
575                     573     9  0.010152628  83.52003
576                     574    31  0.034970163  83.55500
577                     575    11  0.012408767  83.56741
578                     576    28  0.031585953  83.59899
579                     577    19  0.021433325  83.62043
580                     578    34  0.038354372  83.65878
581                     579    27  0.030457884  83.68924
582                     580    15  0.016921046  83.70616
583                     581    18  0.020305256  83.72647
584                     582    12  0.013536837  83.74000
585                     583    20  0.022561395  83.76256
586                     584    12  0.013536837  83.77610
587                     585    10  0.011280698  83.78738
588                     586    23  0.025945604  83.81333
589                     587    19  0.021433325  83.83476
590                     588    16  0.018049116  83.85281
591                     589    22  0.024817535  83.87763
592                     590    21  0.023689465  83.90132
593                     591    19  0.021433325  83.92275
594                     592    17  0.019177186  83.94193
595                     593    10  0.011280698  83.95321
596                     594    22  0.024817535  83.97803
597                     595    36  0.040610511  84.01864
598                     596    47  0.053019279  84.07165
599                     597    32  0.036098232  84.10775
600                     598    28  0.031585953  84.13934
601                     599    19  0.021433325  84.16077
602                     600    35  0.039482442  84.20025
603                     601    79  0.089117511  84.28937
604                     602    23  0.025945604  84.31532
605                     603    41  0.046250860  84.36157
606                     604    21  0.023689465  84.38526
607                     605    15  0.016921046  84.40218
608                     606    25  0.028201744  84.43038
609                     607    32  0.036098232  84.46648
610                     608    17  0.019177186  84.48566
611                     609    11  0.012408767  84.49807
612                     610    42  0.047378930  84.54544
613                     611    19  0.021433325  84.56688
614                     612    16  0.018049116  84.58493
615                     613    20  0.022561395  84.60749
616                     614    19  0.021433325  84.62892
617                     615    31  0.034970163  84.66389
618                     616    23  0.025945604  84.68984
619                     617     9  0.010152628  84.69999
620                     618    13  0.014664907  84.71465
621                     619    26  0.029329814  84.74398
622                     620    22  0.024817535  84.76880
623                     621    20  0.022561395  84.79136
624                     622    15  0.016921046  84.80828
625                     623    22  0.024817535  84.83310
626                     624    18  0.020305256  84.85341
627                     625    18  0.020305256  84.87371
628                     626    18  0.020305256  84.89402
629                     627    20  0.022561395  84.91658
630                     628    17  0.019177186  84.93576
631                     629    27  0.030457884  84.96621
632                     630    35  0.039482442  85.00570
633                     631    14  0.015792977  85.02149
634                     632    17  0.019177186  85.04067
635                     633    15  0.016921046  85.05759
636                     634     8  0.009024558  85.06661
637                     635    12  0.013536837  85.08015
638                     636    18  0.020305256  85.10045
639                     637    18  0.020305256  85.12076
640                     638    14  0.015792977  85.13655
641                     639    22  0.024817535  85.16137
642                     640    80  0.090245581  85.25162
643                     641    26  0.029329814  85.28095
644                     642    13  0.014664907  85.29561
645                     643    10  0.011280698  85.30689
646                     644    18  0.020305256  85.32720
647                     645    27  0.030457884  85.35765
648                     646    12  0.013536837  85.37119
649                     647    23  0.025945604  85.39714
650                     648    24  0.027073674  85.42421
651                     649    20  0.022561395  85.44677
652                     650    30  0.033842093  85.48061
653                     651    14  0.015792977  85.49641
654                     652    17  0.019177186  85.51558
655                     653    13  0.014664907  85.53025
656                     654    24  0.027073674  85.55732
657                     655    16  0.018049116  85.57537
658                     656    18  0.020305256  85.59568
659                     657    14  0.015792977  85.61147
660                     658    13  0.014664907  85.62614
661                     659    20  0.022561395  85.64870
662                     660    19  0.021433325  85.67013
663                     661    56  0.063171907  85.73330
664                     662    32  0.036098232  85.76940
665                     663    25  0.028201744  85.79760
666                     664    18  0.020305256  85.81791
667                     665    16  0.018049116  85.83596
668                     666    14  0.015792977  85.85175
669                     667     8  0.009024558  85.86077
670                     668    21  0.023689465  85.88446
671                     669    17  0.019177186  85.90364
672                     670    13  0.014664907  85.91831
673                     671    15  0.016921046  85.93523
674                     672    17  0.019177186  85.95440
675                     673    15  0.016921046  85.97132
676                     674    19  0.021433325  85.99276
677                     675    18  0.020305256  86.01306
678                     676    19  0.021433325  86.03450
679                     677    21  0.023689465  86.05819
680                     678    24  0.027073674  86.08526
681                     679    17  0.019177186  86.10444
682                     680    24  0.027073674  86.13151
683                     681    27  0.030457884  86.16197
684                     682    28  0.031585953  86.19355
685                     683    23  0.025945604  86.21950
686                     684    15  0.016921046  86.23642
687                     685    19  0.021433325  86.25785
688                     686    11  0.012408767  86.27026
689                     687    11  0.012408767  86.28267
690                     688    13  0.014664907  86.29734
691                     689    12  0.013536837  86.31087
692                     690    15  0.016921046  86.32779
693                     691    21  0.023689465  86.35148
694                     692    25  0.028201744  86.37969
695                     693    16  0.018049116  86.39773
696                     694    16  0.018049116  86.41578
697                     695    23  0.025945604  86.44173
698                     696    19  0.021433325  86.46316
699                     697    16  0.018049116  86.48121
700                     698    28  0.031585953  86.51280
701                     699    20  0.022561395  86.53536
702                     700    19  0.021433325  86.55679
703                     701    11  0.012408767  86.56920
704                     702    17  0.019177186  86.58838
705                     703    18  0.020305256  86.60868
706                     704    20  0.022561395  86.63125
707                     705    12  0.013536837  86.64478
708                     706    18  0.020305256  86.66509
709                     707    10  0.011280698  86.67637
710                     708    23  0.025945604  86.70231
711                     709   112  0.126343813  86.82866
712                     710    88  0.099270139  86.92793
713                     711    19  0.021433325  86.94936
714                     712    22  0.024817535  86.97418
715                     713     7  0.007896488  86.98207
716                     714    12  0.013536837  86.99561
717                     715    15  0.016921046  87.01253
718                     716    20  0.022561395  87.03509
719                     717    20  0.022561395  87.05766
720                     718    22  0.024817535  87.08247
721                     719    22  0.024817535  87.10729
722                     720    15  0.016921046  87.12421
723                     721    31  0.034970163  87.15918
724                     722    19  0.021433325  87.18062
725                     723    16  0.018049116  87.19866
726                     724     9  0.010152628  87.20882
727                     725     7  0.007896488  87.21671
728                     726    28  0.031585953  87.24830
729                     727    24  0.027073674  87.27537
730                     728    13  0.014664907  87.29004
731                     729    19  0.021433325  87.31147
732                     730    10  0.011280698  87.32275
733                     731     9  0.010152628  87.33290
734                     732    10  0.011280698  87.34419
735                     733    13  0.014664907  87.35885
736                     734    12  0.013536837  87.37239
737                     735    17  0.019177186  87.39156
738                     736    12  0.013536837  87.40510
739                     737    14  0.015792977  87.42089
740                     738    12  0.013536837  87.43443
741                     739    12  0.013536837  87.44797
742                     740    12  0.013536837  87.46150
743                     741    10  0.011280698  87.47279
744                     742    14  0.015792977  87.48858
745                     743    18  0.020305256  87.50888
746                     744    28  0.031585953  87.54047
747                     745    18  0.020305256  87.56077
748                     746    11  0.012408767  87.57318
749                     747    13  0.014664907  87.58785
750                     748     7  0.007896488  87.59574
751                     749     9  0.010152628  87.60590
752                     750    13  0.014664907  87.62056
753                     751    15  0.016921046  87.63748
754                     752     8  0.009024558  87.64651
755                     753    10  0.011280698  87.65779
756                     754    15  0.016921046  87.67471
757                     755     9  0.010152628  87.68486
758                     756    13  0.014664907  87.69953
759                     757    13  0.014664907  87.71419
760                     758    16  0.018049116  87.73224
761                     759    15  0.016921046  87.74916
762                     760     7  0.007896488  87.75706
763                     761    19  0.021433325  87.77849
764                     762    13  0.014664907  87.79316
765                     763    11  0.012408767  87.80557
766                     764    12  0.013536837  87.81910
767                     765    14  0.015792977  87.83490
768                     766    16  0.018049116  87.85294
769                     767     8  0.009024558  87.86197
770                     768    24  0.027073674  87.88904
771                     769    32  0.036098232  87.92514
772                     770     9  0.010152628  87.93529
773                     771    28  0.031585953  87.96688
774                     772    20  0.022561395  87.98944
775                     773    13  0.014664907  88.00411
776                     774    10  0.011280698  88.01539
777                     775    11  0.012408767  88.02780
778                     776    10  0.011280698  88.03908
779                     777    22  0.024817535  88.06389
780                     778    12  0.013536837  88.07743
781                     779    13  0.014664907  88.09210
782                     780     8  0.009024558  88.10112
783                     781    10  0.011280698  88.11240
784                     782     5  0.005640349  88.11804
785                     783    27  0.030457884  88.14850
786                     784    11  0.012408767  88.16091
787                     785    15  0.016921046  88.17783
788                     786    41  0.046250860  88.22408
789                     787    45  0.050763139  88.27484
790                     788    17  0.019177186  88.29402
791                     789    13  0.014664907  88.30869
792                     790    12  0.013536837  88.32222
793                     791    11  0.012408767  88.33463
794                     792    19  0.021433325  88.35606
795                     793    12  0.013536837  88.36960
796                     794    14  0.015792977  88.38539
797                     795    16  0.018049116  88.40344
798                     796    12  0.013536837  88.41698
799                     797    13  0.014664907  88.43164
800                     798    10  0.011280698  88.44293
801                     799    10  0.011280698  88.45421
802                     800     7  0.007896488  88.46210
803                     801     9  0.010152628  88.47226
804                     802     4  0.004512279  88.47677
805                     803     6  0.006768419  88.48354
806                     804     7  0.007896488  88.49143
807                     805     5  0.005640349  88.49707
808                     806     3  0.003384209  88.50046
809                     807     2  0.002256140  88.50271
810                     808     3  0.003384209  88.50610
811                     809     6  0.006768419  88.51287
812                     810    11  0.012408767  88.52527
813                     811     9  0.010152628  88.53543
814                     812     5  0.005640349  88.54107
815                     813     8  0.009024558  88.55009
816                     814    10  0.011280698  88.56137
817                     815    12  0.013536837  88.57491
818                     816    14  0.015792977  88.59070
819                     817     8  0.009024558  88.59973
820                     818     1  0.001128070  88.60086
821                     819     6  0.006768419  88.60762
822                     820    16  0.018049116  88.62567
823                     821     9  0.010152628  88.63583
824                     822    12  0.013536837  88.64936
825                     823     8  0.009024558  88.65839
826                     824    10  0.011280698  88.66967
827                     825    11  0.012408767  88.68208
828                     826     7  0.007896488  88.68997
829                     827    11  0.012408767  88.70238
830                     828     8  0.009024558  88.71141
831                     829    10  0.011280698  88.72269
832                     830    13  0.014664907  88.73735
833                     831     7  0.007896488  88.74525
834                     832    13  0.014664907  88.75991
835                     833     9  0.010152628  88.77007
836                     834     3  0.003384209  88.77345
837                     835     6  0.006768419  88.78022
838                     836     5  0.005640349  88.78586
839                     837    10  0.011280698  88.79714
840                     838     8  0.009024558  88.80616
841                     839     5  0.005640349  88.81180
842                     840    11  0.012408767  88.82421
843                     841     7  0.007896488  88.83211
844                     842    10  0.011280698  88.84339
845                     843    11  0.012408767  88.85580
846                     844    14  0.015792977  88.87159
847                     845    10  0.011280698  88.88287
848                     846     5  0.005640349  88.88851
849                     847     7  0.007896488  88.89641
850                     848    14  0.015792977  88.91220
851                     849    17  0.019177186  88.93138
852                     850     8  0.009024558  88.94040
853                     851    20  0.022561395  88.96297
854                     852    12  0.013536837  88.97650
855                     853     8  0.009024558  88.98553
856                     854    10  0.011280698  88.99681
857                     855    14  0.015792977  89.01260
858                     856    10  0.011280698  89.02388
859                     857    15  0.016921046  89.04080
860                     858    19  0.021433325  89.06224
861                     859    13  0.014664907  89.07690
862                     860    26  0.029329814  89.10623
863                     861    16  0.018049116  89.12428
864                     862     8  0.009024558  89.13330
865                     863    10  0.011280698  89.14458
866                     864    12  0.013536837  89.15812
867                     865     9  0.010152628  89.16827
868                     866    10  0.011280698  89.17955
869                     867    13  0.014664907  89.19422
870                     868    12  0.013536837  89.20776
871                     869    14  0.015792977  89.22355
872                     870     8  0.009024558  89.23257
873                     871    16  0.018049116  89.25062
874                     872    65  0.073324534  89.32395
875                     873    39  0.043994721  89.36794
876                     874    12  0.013536837  89.38148
877                     875     8  0.009024558  89.39050
878                     876     6  0.006768419  89.39727
879                     877     6  0.006768419  89.40404
880                     878     9  0.010152628  89.41419
881                     879     9  0.010152628  89.42435
882                     880    10  0.011280698  89.43563
883                     881    10  0.011280698  89.44691
884                     882    13  0.014664907  89.46157
885                     883    22  0.024817535  89.48639
886                     884     9  0.010152628  89.49654
887                     885     9  0.010152628  89.50670
888                     886     4  0.004512279  89.51121
889                     887    15  0.016921046  89.52813
890                     888     6  0.006768419  89.53490
891                     889    12  0.013536837  89.54843
892                     890     9  0.010152628  89.55859
893                     891    11  0.012408767  89.57100
894                     892     8  0.009024558  89.58002
895                     893    10  0.011280698  89.59130
896                     894     6  0.006768419  89.59807
897                     895     5  0.005640349  89.60371
898                     896    13  0.014664907  89.61837
899                     897     7  0.007896488  89.62627
900                     898    10  0.011280698  89.63755
901                     899    13  0.014664907  89.65222
902                     900     7  0.007896488  89.66011
903                     901    10  0.011280698  89.67139
904                     902    23  0.025945604  89.69734
905                     903    15  0.016921046  89.71426
906                     904    18  0.020305256  89.73457
907                     905    11  0.012408767  89.74697
908                     906    22  0.024817535  89.77179
909                     907     9  0.010152628  89.78194
910                     908     8  0.009024558  89.79097
911                     909     8  0.009024558  89.79999
912                     910     7  0.007896488  89.80789
913                     911     5  0.005640349  89.81353
914                     912     7  0.007896488  89.82143
915                     913     5  0.005640349  89.82707
916                     914    13  0.014664907  89.84173
917                     915     6  0.006768419  89.84850
918                     916     6  0.006768419  89.85527
919                     917     8  0.009024558  89.86429
920                     918    13  0.014664907  89.87896
921                     919    12  0.013536837  89.89249
922                     920     3  0.003384209  89.89588
923                     921     6  0.006768419  89.90265
924                     922     6  0.006768419  89.90942
925                     923    17  0.019177186  89.92859
926                     924    10  0.011280698  89.93987
927                     925     8  0.009024558  89.94890
928                     926     7  0.007896488  89.95679
929                     927    10  0.011280698  89.96808
930                     928     1  0.001128070  89.96920
931                     929     7  0.007896488  89.97710
932                     930    18  0.020305256  89.99741
933                     931    10  0.011280698  90.00869
934                     932    11  0.012408767  90.02109
935                     933    11  0.012408767  90.03350
936                     934    10  0.011280698  90.04478
937                     935    22  0.024817535  90.06960
938                     936    13  0.014664907  90.08427
939                     937    12  0.013536837  90.09780
940                     938    16  0.018049116  90.11585
941                     939    10  0.011280698  90.12713
942                     940    11  0.012408767  90.13954
943                     941     9  0.010152628  90.14969
944                     942     9  0.010152628  90.15985
945                     943     6  0.006768419  90.16662
946                     944     6  0.006768419  90.17338
947                     945    10  0.011280698  90.18467
948                     946     3  0.003384209  90.18805
949                     947     7  0.007896488  90.19595
950                     948     5  0.005640349  90.20159
951                     949     9  0.010152628  90.21174
952                     950    14  0.015792977  90.22753
953                     951    10  0.011280698  90.23881
954                     952     9  0.010152628  90.24896
955                     953    10  0.011280698  90.26025
956                     954     8  0.009024558  90.26927
957                     955    10  0.011280698  90.28055
958                     956     5  0.005640349  90.28619
959                     957    16  0.018049116  90.30424
960                     958    15  0.016921046  90.32116
961                     959    21  0.023689465  90.34485
962                     960     5  0.005640349  90.35049
963                     961     9  0.010152628  90.36064
964                     962    13  0.014664907  90.37531
965                     963     6  0.006768419  90.38208
966                     964     6  0.006768419  90.38885
967                     965    20  0.022561395  90.41141
968                     966    18  0.020305256  90.43171
969                     967     7  0.007896488  90.43961
970                     968    11  0.012408767  90.45202
971                     969     5  0.005640349  90.45766
972                     970     7  0.007896488  90.46555
973                     971     7  0.007896488  90.47345
974                     972     5  0.005640349  90.47909
975                     973     8  0.009024558  90.48812
976                     974    10  0.011280698  90.49940
977                     975     6  0.006768419  90.50616
978                     976     4  0.004512279  90.51068
979                     977     8  0.009024558  90.51970
980                     978     7  0.007896488  90.52760
981                     979    10  0.011280698  90.53888
982                     980     9  0.010152628  90.54903
983                     981     5  0.005640349  90.55467
984                     982    15  0.016921046  90.57159
985                     983    11  0.012408767  90.58400
986                     984     8  0.009024558  90.59303
987                     985     4  0.004512279  90.59754
988                     986     9  0.010152628  90.60769
989                     987     4  0.004512279  90.61220
990                     988     7  0.007896488  90.62010
991                     989    11  0.012408767  90.63251
992                     990    18  0.020305256  90.65281
993                     991    11  0.012408767  90.66522
994                     992     9  0.010152628  90.67538
995                     993     4  0.004512279  90.67989
996                     994     9  0.010152628  90.69004
997                     995     5  0.005640349  90.69568
998                     996     8  0.009024558  90.70471
999                     997     8  0.009024558  90.71373
1000                    998     6  0.006768419  90.72050
1001                    999     4  0.004512279  90.72501
1002                   1000    10  0.011280698  90.73629
1003                   1001    10  0.011280698  90.74757
1004                   1002     6  0.006768419  90.75434
1005                   1003     6  0.006768419  90.76111
1006                   1004    11  0.012408767  90.77352
1007                   1005     5  0.005640349  90.77916
1008                   1006     5  0.005640349  90.78480
1009                   1007     8  0.009024558  90.79382
1010                   1008     5  0.005640349  90.79946
1011                   1009    18  0.020305256  90.81977
1012                   1010    12  0.013536837  90.83331
1013                   1011    17  0.019177186  90.85248
1014                   1012     9  0.010152628  90.86263
1015                   1013     7  0.007896488  90.87053
1016                   1014     6  0.006768419  90.87730
1017                   1015     3  0.003384209  90.88068
1018                   1016    11  0.012408767  90.89309
1019                   1017    11  0.012408767  90.90550
1020                   1018     6  0.006768419  90.91227
1021                   1019     5  0.005640349  90.91791
1022                   1020    15  0.016921046  90.93483
1023                   1021     8  0.009024558  90.94386
1024                   1022     8  0.009024558  90.95288
1025                   1023     8  0.009024558  90.96191
1026                   1024     5  0.005640349  90.96755
1027                   1025    12  0.013536837  90.98108
1028                   1026     8  0.009024558  90.99011
1029                   1027     8  0.009024558  90.99913
1030                   1028    17  0.019177186  91.01831
1031                   1029     6  0.006768419  91.02508
1032                   1030    10  0.011280698  91.03636
1033                   1031    14  0.015792977  91.05215
1034                   1032    10  0.011280698  91.06343
1035                   1033     4  0.004512279  91.06794
1036                   1034    12  0.013536837  91.08148
1037                   1035     8  0.009024558  91.09051
1038                   1036     7  0.007896488  91.09840
1039                   1037    12  0.013536837  91.11194
1040                   1038    11  0.012408767  91.12435
1041                   1039    10  0.011280698  91.13563
1042                   1040     3  0.003384209  91.13901
1043                   1041     6  0.006768419  91.14578
1044                   1042     7  0.007896488  91.15368
1045                   1043    11  0.012408767  91.16609
1046                   1044    10  0.011280698  91.17737
1047                   1045     5  0.005640349  91.18301
1048                   1046    18  0.020305256  91.20331
1049                   1047    12  0.013536837  91.21685
1050                   1048    11  0.012408767  91.22926
1051                   1049     4  0.004512279  91.23377
1052                   1050     9  0.010152628  91.24392
1053                   1051     6  0.006768419  91.25069
1054                   1052     6  0.006768419  91.25746
1055                   1053    12  0.013536837  91.27100
1056                   1054     6  0.006768419  91.27776
1057                   1055     5  0.005640349  91.28340
1058                   1056     6  0.006768419  91.29017
1059                   1057     3  0.003384209  91.29356
1060                   1058     9  0.010152628  91.30371
1061                   1059     7  0.007896488  91.31161
1062                   1060    12  0.013536837  91.32514
1063                   1061    11  0.012408767  91.33755
1064                   1062     8  0.009024558  91.34658
1065                   1063    10  0.011280698  91.35786
1066                   1064     6  0.006768419  91.36463
1067                   1065    10  0.011280698  91.37591
1068                   1066     5  0.005640349  91.38155
1069                   1067    12  0.013536837  91.39508
1070                   1068     9  0.010152628  91.40524
1071                   1069    14  0.015792977  91.42103
1072                   1070    13  0.014664907  91.43569
1073                   1071    15  0.016921046  91.45262
1074                   1072     7  0.007896488  91.46051
1075                   1073     3  0.003384209  91.46390
1076                   1074     9  0.010152628  91.47405
1077                   1075     7  0.007896488  91.48195
1078                   1076     7  0.007896488  91.48984
1079                   1077     6  0.006768419  91.49661
1080                   1078     7  0.007896488  91.50451
1081                   1079     6  0.006768419  91.51128
1082                   1080    11  0.012408767  91.52368
1083                   1081    15  0.016921046  91.54060
1084                   1082    13  0.014664907  91.55527
1085                   1083    13  0.014664907  91.56993
1086                   1084     8  0.009024558  91.57896
1087                   1085     9  0.010152628  91.58911
1088                   1086     8  0.009024558  91.59814
1089                   1087    13  0.014664907  91.61280
1090                   1088     8  0.009024558  91.62183
1091                   1089     7  0.007896488  91.62972
1092                   1090     9  0.010152628  91.63988
1093                   1091    18  0.020305256  91.66018
1094                   1092     8  0.009024558  91.66920
1095                   1093     1  0.001128070  91.67033
1096                   1094     4  0.004512279  91.67485
1097                   1095     5  0.005640349  91.68049
1098                   1096    14  0.015792977  91.69628
1099                   1097     6  0.006768419  91.70305
1100                   1098     4  0.004512279  91.70756
1101                   1099     5  0.005640349  91.71320
1102                   1100     5  0.005640349  91.71884
1103                   1101     7  0.007896488  91.72674
1104                   1102     7  0.007896488  91.73463
1105                   1103     4  0.004512279  91.73915
1106                   1104     4  0.004512279  91.74366
1107                   1105     6  0.006768419  91.75043
1108                   1106    14  0.015792977  91.76622
1109                   1107    10  0.011280698  91.77750
1110                   1108    12  0.013536837  91.79104
1111                   1109     6  0.006768419  91.79780
1112                   1110     6  0.006768419  91.80457
1113                   1111     6  0.006768419  91.81134
1114                   1112    10  0.011280698  91.82262
1115                   1113     6  0.006768419  91.82939
1116                   1114     8  0.009024558  91.83842
1117                   1115    10  0.011280698  91.84970
1118                   1116     8  0.009024558  91.85872
1119                   1117     9  0.010152628  91.86887
1120                   1118     6  0.006768419  91.87564
1121                   1119     6  0.006768419  91.88241
1122                   1120     8  0.009024558  91.89143
1123                   1121     6  0.006768419  91.89820
1124                   1122     9  0.010152628  91.90836
1125                   1123     5  0.005640349  91.91400
1126                   1124     6  0.006768419  91.92076
1127                   1125     3  0.003384209  91.92415
1128                   1126     9  0.010152628  91.93430
1129                   1127     6  0.006768419  91.94107
1130                   1128     7  0.007896488  91.94897
1131                   1129     6  0.006768419  91.95573
1132                   1130     2  0.002256140  91.95799
1133                   1131     4  0.004512279  91.96250
1134                   1132    17  0.019177186  91.98168
1135                   1133    17  0.019177186  92.00086
1136                   1134    16  0.018049116  92.01891
1137                   1135    13  0.014664907  92.03357
1138                   1136     3  0.003384209  92.03696
1139                   1137     6  0.006768419  92.04372
1140                   1138     7  0.007896488  92.05162
1141                   1139    10  0.011280698  92.06290
1142                   1140     4  0.004512279  92.06741
1143                   1141    10  0.011280698  92.07869
1144                   1142    10  0.011280698  92.08997
1145                   1143     9  0.010152628  92.10013
1146                   1144     4  0.004512279  92.10464
1147                   1145     9  0.010152628  92.11479
1148                   1146     9  0.010152628  92.12495
1149                   1147     6  0.006768419  92.13171
1150                   1148     9  0.010152628  92.14187
1151                   1149     3  0.003384209  92.14525
1152                   1150     3  0.003384209  92.14863
1153                   1151     8  0.009024558  92.15766
1154                   1152    12  0.013536837  92.17120
1155                   1153     8  0.009024558  92.18022
1156                   1154    12  0.013536837  92.19376
1157                   1155     3  0.003384209  92.19714
1158                   1156     4  0.004512279  92.20165
1159                   1157     3  0.003384209  92.20504
1160                   1158     5  0.005640349  92.21068
1161                   1159     5  0.005640349  92.21632
1162                   1160     8  0.009024558  92.22534
1163                   1161     5  0.005640349  92.23098
1164                   1162     9  0.010152628  92.24114
1165                   1163     6  0.006768419  92.24790
1166                   1164     5  0.005640349  92.25354
1167                   1165     7  0.007896488  92.26144
1168                   1166     5  0.005640349  92.26708
1169                   1167     8  0.009024558  92.27611
1170                   1168    13  0.014664907  92.29077
1171                   1169    10  0.011280698  92.30205
1172                   1170    10  0.011280698  92.31333
1173                   1171     6  0.006768419  92.32010
1174                   1172     5  0.005640349  92.32574
1175                   1173     7  0.007896488  92.33364
1176                   1174     8  0.009024558  92.34266
1177                   1175     9  0.010152628  92.35282
1178                   1176     5  0.005640349  92.35846
1179                   1177     5  0.005640349  92.36410
1180                   1178     2  0.002256140  92.36635
1181                   1179     6  0.006768419  92.37312
1182                   1180     1  0.001128070  92.37425
1183                   1181     2  0.002256140  92.37650
1184                   1182     4  0.004512279  92.38102
1185                   1183     4  0.004512279  92.38553
1186                   1184     7  0.007896488  92.39343
1187                   1185     4  0.004512279  92.39794
1188                   1186     7  0.007896488  92.40583
1189                   1187     9  0.010152628  92.41599
1190                   1188     3  0.003384209  92.41937
1191                   1189     4  0.004512279  92.42388
1192                   1190     8  0.009024558  92.43291
1193                   1191    16  0.018049116  92.45096
1194                   1192     8  0.009024558  92.45998
1195                   1193    10  0.011280698  92.47126
1196                   1194    11  0.012408767  92.48367
1197                   1195    10  0.011280698  92.49495
1198                   1196     4  0.004512279  92.49946
1199                   1197     6  0.006768419  92.50623
1200                   1198     7  0.007896488  92.51413
1201                   1199     4  0.004512279  92.51864
1202                   1200     4  0.004512279  92.52315
1203                   1201     7  0.007896488  92.53105
1204                   1202     4  0.004512279  92.53556
1205                   1203     8  0.009024558  92.54459
1206                   1204     8  0.009024558  92.55361
1207                   1205     8  0.009024558  92.56264
1208                   1206     8  0.009024558  92.57166
1209                   1207     5  0.005640349  92.57730
1210                   1208     8  0.009024558  92.58633
1211                   1209     6  0.006768419  92.59309
1212                   1210     3  0.003384209  92.59648
1213                   1211     5  0.005640349  92.60212
1214                   1212     6  0.006768419  92.60889
1215                   1213     6  0.006768419  92.61566
1216                   1214     3  0.003384209  92.61904
1217                   1215     2  0.002256140  92.62130
1218                   1216     9  0.010152628  92.63145
1219                   1217     7  0.007896488  92.63934
1220                   1218     4  0.004512279  92.64386
1221                   1219     5  0.005640349  92.64950
1222                   1220     6  0.006768419  92.65627
1223                   1221     3  0.003384209  92.65965
1224                   1222     4  0.004512279  92.66416
1225                   1223     5  0.005640349  92.66980
1226                   1224     9  0.010152628  92.67996
1227                   1225     6  0.006768419  92.68672
1228                   1226     3  0.003384209  92.69011
1229                   1227     5  0.005640349  92.69575
1230                   1228    12  0.013536837  92.70929
1231                   1229     1  0.001128070  92.71041
1232                   1230     5  0.005640349  92.71605
1233                   1231     5  0.005640349  92.72169
1234                   1232    10  0.011280698  92.73297
1235                   1233    17  0.019177186  92.75215
1236                   1234    12  0.013536837  92.76569
1237                   1235     8  0.009024558  92.77471
1238                   1236     6  0.006768419  92.78148
1239                   1237     5  0.005640349  92.78712
1240                   1238     3  0.003384209  92.79051
1241                   1239     9  0.010152628  92.80066
1242                   1240     7  0.007896488  92.80856
1243                   1241     2  0.002256140  92.81081
1244                   1242     4  0.004512279  92.81532
1245                   1243    13  0.014664907  92.82999
1246                   1244     5  0.005640349  92.83563
1247                   1245    14  0.015792977  92.85142
1248                   1246     5  0.005640349  92.85706
1249                   1247     5  0.005640349  92.86270
1250                   1248     2  0.002256140  92.86496
1251                   1249     9  0.010152628  92.87511
1252                   1250     9  0.010152628  92.88526
1253                   1251    10  0.011280698  92.89654
1254                   1252     8  0.009024558  92.90557
1255                   1253     7  0.007896488  92.91347
1256                   1254     2  0.002256140  92.91572
1257                   1255     7  0.007896488  92.92362
1258                   1256     3  0.003384209  92.92700
1259                   1257     8  0.009024558  92.93603
1260                   1258     7  0.007896488  92.94392
1261                   1259     8  0.009024558  92.95295
1262                   1260     5  0.005640349  92.95859
1263                   1261     3  0.003384209  92.96197
1264                   1262     9  0.010152628  92.97213
1265                   1263     5  0.005640349  92.97777
1266                   1264     8  0.009024558  92.98679
1267                   1265     5  0.005640349  92.99243
1268                   1266     4  0.004512279  92.99694
1269                   1267     4  0.004512279  93.00146
1270                   1268     7  0.007896488  93.00935
1271                   1269     3  0.003384209  93.01274
1272                   1270     5  0.005640349  93.01838
1273                   1271     7  0.007896488  93.02627
1274                   1272     7  0.007896488  93.03417
1275                   1273     5  0.005640349  93.03981
1276                   1274    10  0.011280698  93.05109
1277                   1275     3  0.003384209  93.05447
1278                   1276     7  0.007896488  93.06237
1279                   1277     9  0.010152628  93.07252
1280                   1278     3  0.003384209  93.07591
1281                   1279     9  0.010152628  93.08606
1282                   1280     4  0.004512279  93.09057
1283                   1281     5  0.005640349  93.09621
1284                   1282     5  0.005640349  93.10185
1285                   1283     1  0.001128070  93.10298
1286                   1284     5  0.005640349  93.10862
1287                   1285     6  0.006768419  93.11539
1288                   1286     2  0.002256140  93.11765
1289                   1287    11  0.012408767  93.13006
1290                   1288     5  0.005640349  93.13570
1291                   1289     2  0.002256140  93.13795
1292                   1290     6  0.006768419  93.14472
1293                   1291     9  0.010152628  93.15487
1294                   1292     6  0.006768419  93.16164
1295                   1293    12  0.013536837  93.17518
1296                   1294     3  0.003384209  93.17856
1297                   1295     2  0.002256140  93.18082
1298                   1296     3  0.003384209  93.18420
1299                   1297     2  0.002256140  93.18646
1300                   1298     5  0.005640349  93.19210
1301                   1299     2  0.002256140  93.19436
1302                   1300     4  0.004512279  93.19887
1303                   1301     6  0.006768419  93.20564
1304                   1302     9  0.010152628  93.21579
1305                   1303    10  0.011280698  93.22707
1306                   1304    13  0.014664907  93.24173
1307                   1305     3  0.003384209  93.24512
1308                   1306     2  0.002256140  93.24737
1309                   1307     6  0.006768419  93.25414
1310                   1308     6  0.006768419  93.26091
1311                   1309    13  0.014664907  93.27558
1312                   1310     5  0.005640349  93.28122
1313                   1311     6  0.006768419  93.28798
1314                   1312     7  0.007896488  93.29588
1315                   1313     6  0.006768419  93.30265
1316                   1314     1  0.001128070  93.30378
1317                   1315     4  0.004512279  93.30829
1318                   1316     2  0.002256140  93.31055
1319                   1317     2  0.002256140  93.31280
1320                   1318     6  0.006768419  93.31957
1321                   1319     1  0.001128070  93.32070
1322                   1320     6  0.006768419  93.32747
1323                   1321     9  0.010152628  93.33762
1324                   1322     6  0.006768419  93.34439
1325                   1323    12  0.013536837  93.35793
1326                   1324     1  0.001128070  93.35905
1327                   1325     6  0.006768419  93.36582
1328                   1326     3  0.003384209  93.36921
1329                   1327     7  0.007896488  93.37710
1330                   1328    13  0.014664907  93.39177
1331                   1329     2  0.002256140  93.39402
1332                   1330     7  0.007896488  93.40192
1333                   1331     3  0.003384209  93.40530
1334                   1332     4  0.004512279  93.40982
1335                   1333     6  0.006768419  93.41658
1336                   1334     6  0.006768419  93.42335
1337                   1335     9  0.010152628  93.43351
1338                   1336     6  0.006768419  93.44027
1339                   1337    11  0.012408767  93.45268
1340                   1338     6  0.006768419  93.45945
1341                   1339     8  0.009024558  93.46848
1342                   1340     9  0.010152628  93.47863
1343                   1341     2  0.002256140  93.48088
1344                   1342     8  0.009024558  93.48991
1345                   1343     3  0.003384209  93.49329
1346                   1344     5  0.005640349  93.49893
1347                   1345     4  0.004512279  93.50345
1348                   1346     5  0.005640349  93.50909
1349                   1347     5  0.005640349  93.51473
1350                   1348    10  0.011280698  93.52601
1351                   1349    11  0.012408767  93.53842
1352                   1350     2  0.002256140  93.54067
1353                   1351     4  0.004512279  93.54518
1354                   1352     1  0.001128070  93.54631
1355                   1353     6  0.006768419  93.55308
1356                   1354     6  0.006768419  93.55985
1357                   1355     3  0.003384209  93.56323
1358                   1356     6  0.006768419  93.57000
1359                   1357     4  0.004512279  93.57451
1360                   1358     2  0.002256140  93.57677
1361                   1359     3  0.003384209  93.58015
1362                   1360     4  0.004512279  93.58467
1363                   1361    10  0.011280698  93.59595
1364                   1362    22  0.024817535  93.62077
1365                   1363    16  0.018049116  93.63881
1366                   1364    11  0.012408767  93.65122
1367                   1365    23  0.025945604  93.67717
1368                   1366     5  0.005640349  93.68281
1369                   1367     9  0.010152628  93.69296
1370                   1368     8  0.009024558  93.70199
1371                   1369     8  0.009024558  93.71101
1372                   1370     6  0.006768419  93.71778
1373                   1371     1  0.001128070  93.71891
1374                   1372     7  0.007896488  93.72680
1375                   1373     4  0.004512279  93.73132
1376                   1374     5  0.005640349  93.73696
1377                   1375     5  0.005640349  93.74260
1378                   1376     8  0.009024558  93.75162
1379                   1377     7  0.007896488  93.75952
1380                   1378    10  0.011280698  93.77080
1381                   1379     6  0.006768419  93.77757
1382                   1380     6  0.006768419  93.78434
1383                   1381     5  0.005640349  93.78998
1384                   1382    11  0.012408767  93.80238
1385                   1383    17  0.019177186  93.82156
1386                   1384     9  0.010152628  93.83171
1387                   1385     9  0.010152628  93.84187
1388                   1386     9  0.010152628  93.85202
1389                   1387     6  0.006768419  93.85879
1390                   1388    10  0.011280698  93.87007
1391                   1389     6  0.006768419  93.87684
1392                   1390     5  0.005640349  93.88248
1393                   1391     3  0.003384209  93.88586
1394                   1392     1  0.001128070  93.88699
1395                   1393     2  0.002256140  93.88925
1396                   1394    16  0.018049116  93.90730
1397                   1395    13  0.014664907  93.92196
1398                   1396     9  0.010152628  93.93211
1399                   1397     2  0.002256140  93.93437
1400                   1398    12  0.013536837  93.94791
1401                   1399     9  0.010152628  93.95806
1402                   1400     3  0.003384209  93.96144
1403                   1401     4  0.004512279  93.96595
1404                   1402     3  0.003384209  93.96934
1405                   1403     4  0.004512279  93.97385
1406                   1404     4  0.004512279  93.97836
1407                   1405     5  0.005640349  93.98400
1408                   1406     3  0.003384209  93.98739
1409                   1407     3  0.003384209  93.99077
1410                   1408     4  0.004512279  93.99528
1411                   1409    10  0.011280698  94.00657
1412                   1410     2  0.002256140  94.00882
1413                   1411     2  0.002256140  94.01108
1414                   1412     3  0.003384209  94.01446
1415                   1413     4  0.004512279  94.01897
1416                   1414     2  0.002256140  94.02123
1417                   1415     3  0.003384209  94.02461
1418                   1416     9  0.010152628  94.03477
1419                   1417     3  0.003384209  94.03815
1420                   1418     6  0.006768419  94.04492
1421                   1419     8  0.009024558  94.05394
1422                   1420     6  0.006768419  94.06071
1423                   1421     3  0.003384209  94.06410
1424                   1422     7  0.007896488  94.07199
1425                   1423     1  0.001128070  94.07312
1426                   1424     7  0.007896488  94.08102
1427                   1425     1  0.001128070  94.08215
1428                   1426     6  0.006768419  94.08891
1429                   1427     2  0.002256140  94.09117
1430                   1428     3  0.003384209  94.09455
1431                   1429    10  0.011280698  94.10584
1432                   1430     3  0.003384209  94.10922
1433                   1431     8  0.009024558  94.11824
1434                   1432     4  0.004512279  94.12276
1435                   1433     3  0.003384209  94.12614
1436                   1434     2  0.002256140  94.12840
1437                   1435     3  0.003384209  94.13178
1438                   1436     5  0.005640349  94.13742
1439                   1437     8  0.009024558  94.14645
1440                   1438     9  0.010152628  94.15660
1441                   1439     5  0.005640349  94.16224
1442                   1440     4  0.004512279  94.16675
1443                   1441     3  0.003384209  94.17014
1444                   1442     4  0.004512279  94.17465
1445                   1443     2  0.002256140  94.17690
1446                   1444     1  0.001128070  94.17803
1447                   1445     5  0.005640349  94.18367
1448                   1446     5  0.005640349  94.18931
1449                   1447     3  0.003384209  94.19270
1450                   1448     4  0.004512279  94.19721
1451                   1449     5  0.005640349  94.20285
1452                   1450     2  0.002256140  94.20511
1453                   1451     3  0.003384209  94.20849
1454                   1452     4  0.004512279  94.21300
1455                   1453     3  0.003384209  94.21639
1456                   1454     2  0.002256140  94.21864
1457                   1455     2  0.002256140  94.22090
1458                   1456     2  0.002256140  94.22315
1459                   1457     5  0.005640349  94.22880
1460                   1458    12  0.013536837  94.24233
1461                   1459     2  0.002256140  94.24459
1462                   1460     6  0.006768419  94.25136
1463                   1461     8  0.009024558  94.26038
1464                   1462     8  0.009024558  94.26941
1465                   1463     4  0.004512279  94.27392
1466                   1464     6  0.006768419  94.28069
1467                   1465     5  0.005640349  94.28633
1468                   1466     5  0.005640349  94.29197
1469                   1467     7  0.007896488  94.29986
1470                   1468     6  0.006768419  94.30663
1471                   1469     3  0.003384209  94.31002
1472                   1470     6  0.006768419  94.31678
1473                   1471     6  0.006768419  94.32355
1474                   1472     3  0.003384209  94.32694
1475                   1473     3  0.003384209  94.33032
1476                   1474     5  0.005640349  94.33596
1477                   1475     4  0.004512279  94.34047
1478                   1476     3  0.003384209  94.34386
1479                   1477     4  0.004512279  94.34837
1480                   1478    11  0.012408767  94.36078
1481                   1479     6  0.006768419  94.36755
1482                   1480     5  0.005640349  94.37319
1483                   1481     5  0.005640349  94.37883
1484                   1482     6  0.006768419  94.38560
1485                   1483     4  0.004512279  94.39011
1486                   1484     4  0.004512279  94.39462
1487                   1485     3  0.003384209  94.39801
1488                   1486     3  0.003384209  94.40139
1489                   1487     9  0.010152628  94.41154
1490                   1488     6  0.006768419  94.41831
1491                   1489     7  0.007896488  94.42621
1492                   1490     3  0.003384209  94.42959
1493                   1491     7  0.007896488  94.43749
1494                   1492     4  0.004512279  94.44200
1495                   1493     6  0.006768419  94.44877
1496                   1494     4  0.004512279  94.45328
1497                   1495     6  0.006768419  94.46005
1498                   1496     7  0.007896488  94.46795
1499                   1497     6  0.006768419  94.47471
1500                   1498     8  0.009024558  94.48374
1501                   1499     3  0.003384209  94.48712
1502                   1500     3  0.003384209  94.49051
1503                   1501     1  0.001128070  94.49164
1504                   1502     7  0.007896488  94.49953
1505                   1503     5  0.005640349  94.50517
1506                   1504     6  0.006768419  94.51194
1507                   1505     6  0.006768419  94.51871
1508                   1506     8  0.009024558  94.52773
1509                   1507     4  0.004512279  94.53225
1510                   1508    11  0.012408767  94.54465
1511                   1509     7  0.007896488  94.55255
1512                   1510     7  0.007896488  94.56045
1513                   1511     3  0.003384209  94.56383
1514                   1512     7  0.007896488  94.57173
1515                   1513     6  0.006768419  94.57850
1516                   1514     3  0.003384209  94.58188
1517                   1515     7  0.007896488  94.58978
1518                   1516     4  0.004512279  94.59429
1519                   1517     6  0.006768419  94.60106
1520                   1518     4  0.004512279  94.60557
1521                   1519     3  0.003384209  94.60895
1522                   1520     5  0.005640349  94.61459
1523                   1521     7  0.007896488  94.62249
1524                   1522     2  0.002256140  94.62475
1525                   1523     5  0.005640349  94.63039
1526                   1524     4  0.004512279  94.63490
1527                   1525     4  0.004512279  94.63941
1528                   1526     2  0.002256140  94.64167
1529                   1527     4  0.004512279  94.64618
1530                   1528     4  0.004512279  94.65069
1531                   1529     4  0.004512279  94.65521
1532                   1530     3  0.003384209  94.65859
1533                   1531     2  0.002256140  94.66085
1534                   1532     5  0.005640349  94.66649
1535                   1533     3  0.003384209  94.66987
1536                   1534    18  0.020305256  94.69018
1537                   1535     3  0.003384209  94.69356
1538                   1536     2  0.002256140  94.69582
1539                   1537     5  0.005640349  94.70146
1540                   1538     8  0.009024558  94.71048
1541                   1539     9  0.010152628  94.72063
1542                   1540     5  0.005640349  94.72627
1543                   1541     2  0.002256140  94.72853
1544                   1542     2  0.002256140  94.73079
1545                   1543     4  0.004512279  94.73530
1546                   1544     9  0.010152628  94.74545
1547                   1545     7  0.007896488  94.75335
1548                   1546     5  0.005640349  94.75899
1549                   1548     5  0.005640349  94.76463
1550                   1549     5  0.005640349  94.77027
1551                   1550     4  0.004512279  94.77478
1552                   1551     5  0.005640349  94.78042
1553                   1552     2  0.002256140  94.78268
1554                   1553     3  0.003384209  94.78606
1555                   1554     3  0.003384209  94.78945
1556                   1555     2  0.002256140  94.79170
1557                   1556     3  0.003384209  94.79509
1558                   1557     4  0.004512279  94.79960
1559                   1559     6  0.006768419  94.80637
1560                   1560     7  0.007896488  94.81426
1561                   1561     6  0.006768419  94.82103
1562                   1562     3  0.003384209  94.82442
1563                   1563     4  0.004512279  94.82893
1564                   1564     2  0.002256140  94.83118
1565                   1565     2  0.002256140  94.83344
1566                   1566    11  0.012408767  94.84585
1567                   1567    13  0.014664907  94.86051
1568                   1568     6  0.006768419  94.86728
1569                   1569     5  0.005640349  94.87292
1570                   1570     4  0.004512279  94.87744
1571                   1571     5  0.005640349  94.88308
1572                   1572     4  0.004512279  94.88759
1573                   1573     9  0.010152628  94.89774
1574                   1574     3  0.003384209  94.90112
1575                   1575     4  0.004512279  94.90564
1576                   1576     8  0.009024558  94.91466
1577                   1577     6  0.006768419  94.92143
1578                   1578     5  0.005640349  94.92707
1579                   1579     2  0.002256140  94.92933
1580                   1580     6  0.006768419  94.93609
1581                   1581     2  0.002256140  94.93835
1582                   1582     3  0.003384209  94.94174
1583                   1583     2  0.002256140  94.94399
1584                   1584     5  0.005640349  94.94963
1585                   1585     5  0.005640349  94.95527
1586                   1586     8  0.009024558  94.96430
1587                   1587     6  0.006768419  94.97107
1588                   1588     2  0.002256140  94.97332
1589                   1589     4  0.004512279  94.97783
1590                   1590     6  0.006768419  94.98460
1591                   1591     7  0.007896488  94.99250
1592                   1592     7  0.007896488  95.00039
1593                   1593     7  0.007896488  95.00829
1594                   1594     6  0.006768419  95.01506
1595                   1595     6  0.006768419  95.02183
1596                   1596     2  0.002256140  95.02408
1597                   1597     1  0.001128070  95.02521
1598                   1598     5  0.005640349  95.03085
1599                   1599     6  0.006768419  95.03762
1600                   1600     2  0.002256140  95.03988
1601                   1601     5  0.005640349  95.04552
1602                   1602     6  0.006768419  95.05229
1603                   1603     9  0.010152628  95.06244
1604                   1604     4  0.004512279  95.06695
1605                   1605     8  0.009024558  95.07598
1606                   1606     4  0.004512279  95.08049
1607                   1607     2  0.002256140  95.08274
1608                   1608     6  0.006768419  95.08951
1609                   1609    14  0.015792977  95.10531
1610                   1610     4  0.004512279  95.10982
1611                   1611     5  0.005640349  95.11546
1612                   1612     7  0.007896488  95.12335
1613                   1613     7  0.007896488  95.13125
1614                   1614     6  0.006768419  95.13802
1615                   1615     1  0.001128070  95.13915
1616                   1616     4  0.004512279  95.14366
1617                   1617     3  0.003384209  95.14704
1618                   1618    18  0.020305256  95.16735
1619                   1619     5  0.005640349  95.17299
1620                   1620     6  0.006768419  95.17976
1621                   1621     7  0.007896488  95.18765
1622                   1622     7  0.007896488  95.19555
1623                   1623     3  0.003384209  95.19894
1624                   1624     2  0.002256140  95.20119
1625                   1625     4  0.004512279  95.20570
1626                   1626     2  0.002256140  95.20796
1627                   1627     6  0.006768419  95.21473
1628                   1628     3  0.003384209  95.21811
1629                   1630    17  0.019177186  95.23729
1630                   1631    15  0.016921046  95.25421
1631                   1632     8  0.009024558  95.26324
1632                   1633     3  0.003384209  95.26662
1633                   1634    10  0.011280698  95.27790
1634                   1635     5  0.005640349  95.28354
1635                   1636     4  0.004512279  95.28805
1636                   1637     6  0.006768419  95.29482
1637                   1638     3  0.003384209  95.29821
1638                   1639     2  0.002256140  95.30046
1639                   1640    12  0.013536837  95.31400
1640                   1641    16  0.018049116  95.33205
1641                   1642    15  0.016921046  95.34897
1642                   1643    11  0.012408767  95.36138
1643                   1644     6  0.006768419  95.36815
1644                   1645     3  0.003384209  95.37153
1645                   1646     7  0.007896488  95.37943
1646                   1647     8  0.009024558  95.38845
1647                   1648     7  0.007896488  95.39635
1648                   1649    11  0.012408767  95.40876
1649                   1650     7  0.007896488  95.41665
1650                   1651    10  0.011280698  95.42793
1651                   1652     6  0.006768419  95.43470
1652                   1653     9  0.010152628  95.44485
1653                   1654     8  0.009024558  95.45388
1654                   1655     6  0.006768419  95.46065
1655                   1656     3  0.003384209  95.46403
1656                   1657     6  0.006768419  95.47080
1657                   1658     3  0.003384209  95.47418
1658                   1659     4  0.004512279  95.47870
1659                   1660     6  0.006768419  95.48546
1660                   1661     3  0.003384209  95.48885
1661                   1662     5  0.005640349  95.49449
1662                   1663    22  0.024817535  95.51931
1663                   1664     3  0.003384209  95.52269
1664                   1665     2  0.002256140  95.52495
1665                   1666     5  0.005640349  95.53059
1666                   1667     8  0.009024558  95.53961
1667                   1668     7  0.007896488  95.54751
1668                   1669     4  0.004512279  95.55202
1669                   1670     2  0.002256140  95.55428
1670                   1671     8  0.009024558  95.56330
1671                   1672    11  0.012408767  95.57571
1672                   1673     3  0.003384209  95.57909
1673                   1674    11  0.012408767  95.59150
1674                   1675     3  0.003384209  95.59489
1675                   1676     7  0.007896488  95.60278
1676                   1677     8  0.009024558  95.61181
1677                   1678     3  0.003384209  95.61519
1678                   1679     3  0.003384209  95.61858
1679                   1680     6  0.006768419  95.62535
1680                   1681     3  0.003384209  95.62873
1681                   1682     6  0.006768419  95.63550
1682                   1683     8  0.009024558  95.64452
1683                   1684     5  0.005640349  95.65016
1684                   1685     3  0.003384209  95.65355
1685                   1686     2  0.002256140  95.65580
1686                   1688     7  0.007896488  95.66370
1687                   1689     3  0.003384209  95.66708
1688                   1690     4  0.004512279  95.67160
1689                   1691     7  0.007896488  95.67949
1690                   1692     5  0.005640349  95.68513
1691                   1693     2  0.002256140  95.68739
1692                   1694     2  0.002256140  95.68965
1693                   1695     8  0.009024558  95.69867
1694                   1696     6  0.006768419  95.70544
1695                   1697     5  0.005640349  95.71108
1696                   1698    12  0.013536837  95.72462
1697                   1699     4  0.004512279  95.72913
1698                   1700     7  0.007896488  95.73702
1699                   1701     3  0.003384209  95.74041
1700                   1702     7  0.007896488  95.74831
1701                   1703     5  0.005640349  95.75395
1702                   1704     8  0.009024558  95.76297
1703                   1705     9  0.010152628  95.77312
1704                   1706    13  0.014664907  95.78779
1705                   1707    10  0.011280698  95.79907
1706                   1708     7  0.007896488  95.80696
1707                   1709     3  0.003384209  95.81035
1708                   1710     4  0.004512279  95.81486
1709                   1711     5  0.005640349  95.82050
1710                   1712     6  0.006768419  95.82727
1711                   1714     2  0.002256140  95.82953
1712                   1715     4  0.004512279  95.83404
1713                   1716    26  0.029329814  95.86337
1714                   1718     6  0.006768419  95.87014
1715                   1719     3  0.003384209  95.87352
1716                   1720     4  0.004512279  95.87803
1717                   1721     7  0.007896488  95.88593
1718                   1722     4  0.004512279  95.89044
1719                   1723     2  0.002256140  95.89270
1720                   1724     2  0.002256140  95.89495
1721                   1725     4  0.004512279  95.89947
1722                   1726     2  0.002256140  95.90172
1723                   1727     5  0.005640349  95.90736
1724                   1728     6  0.006768419  95.91413
1725                   1729     8  0.009024558  95.92316
1726                   1730     7  0.007896488  95.93105
1727                   1731     7  0.007896488  95.93895
1728                   1732     5  0.005640349  95.94459
1729                   1733     1  0.001128070  95.94572
1730                   1734     3  0.003384209  95.94910
1731                   1735     6  0.006768419  95.95587
1732                   1736     6  0.006768419  95.96264
1733                   1737     3  0.003384209  95.96602
1734                   1738     1  0.001128070  95.96715
1735                   1739     2  0.002256140  95.96941
1736                   1740     3  0.003384209  95.97279
1737                   1741     5  0.005640349  95.97843
1738                   1742     1  0.001128070  95.97956
1739                   1744     4  0.004512279  95.98407
1740                   1745     3  0.003384209  95.98746
1741                   1746     7  0.007896488  95.99535
1742                   1747     6  0.006768419  96.00212
1743                   1748     6  0.006768419  96.00889
1744                   1749     4  0.004512279  96.01340
1745                   1750     9  0.010152628  96.02355
1746                   1751    10  0.011280698  96.03483
1747                   1752     8  0.009024558  96.04386
1748                   1753     4  0.004512279  96.04837
1749                   1754     1  0.001128070  96.04950
1750                   1756     4  0.004512279  96.05401
1751                   1757     4  0.004512279  96.05852
1752                   1758     4  0.004512279  96.06304
1753                   1759     2  0.002256140  96.06529
1754                   1760     3  0.003384209  96.06868
1755                   1761     6  0.006768419  96.07545
1756                   1762     1  0.001128070  96.07657
1757                   1763     4  0.004512279  96.08109
1758                   1764     4  0.004512279  96.08560
1759                   1765     5  0.005640349  96.09124
1760                   1766    14  0.015792977  96.10703
1761                   1767     9  0.010152628  96.11718
1762                   1768     5  0.005640349  96.12282
1763                   1769     3  0.003384209  96.12621
1764                   1770     5  0.005640349  96.13185
1765                   1771     4  0.004512279  96.13636
1766                   1772     2  0.002256140  96.13862
1767                   1773     4  0.004512279  96.14313
1768                   1774     4  0.004512279  96.14764
1769                   1775     5  0.005640349  96.15328
1770                   1776     1  0.001128070  96.15441
1771                   1777     1  0.001128070  96.15554
1772                   1778    18  0.020305256  96.17584
1773                   1779    11  0.012408767  96.18825
1774                   1780     7  0.007896488  96.19615
1775                   1782     6  0.006768419  96.20292
1776                   1783     1  0.001128070  96.20405
1777                   1784     4  0.004512279  96.20856
1778                   1785     6  0.006768419  96.21533
1779                   1786     5  0.005640349  96.22097
1780                   1787     3  0.003384209  96.22435
1781                   1788     1  0.001128070  96.22548
1782                   1789     1  0.001128070  96.22661
1783                   1790     3  0.003384209  96.22999
1784                   1791     4  0.004512279  96.23450
1785                   1792     8  0.009024558  96.24353
1786                   1793     6  0.006768419  96.25030
1787                   1794     7  0.007896488  96.25819
1788                   1795     1  0.001128070  96.25932
1789                   1796     3  0.003384209  96.26270
1790                   1797     1  0.001128070  96.26383
1791                   1798     2  0.002256140  96.26609
1792                   1799     5  0.005640349  96.27173
1793                   1800     6  0.006768419  96.27850
1794                   1801     3  0.003384209  96.28188
1795                   1802     6  0.006768419  96.28865
1796                   1803     1  0.001128070  96.28978
1797                   1804     6  0.006768419  96.29655
1798                   1805     1  0.001128070  96.29768
1799                   1806    10  0.011280698  96.30896
1800                   1807     5  0.005640349  96.31460
1801                   1808     2  0.002256140  96.31685
1802                   1809     5  0.005640349  96.32249
1803                   1810     2  0.002256140  96.32475
1804                   1811     6  0.006768419  96.33152
1805                   1812    13  0.014664907  96.34618
1806                   1813     2  0.002256140  96.34844
1807                   1814     1  0.001128070  96.34957
1808                   1815     5  0.005640349  96.35521
1809                   1816     4  0.004512279  96.35972
1810                   1817     4  0.004512279  96.36423
1811                   1818     5  0.005640349  96.36987
1812                   1819     3  0.003384209  96.37326
1813                   1820     2  0.002256140  96.37551
1814                   1821     2  0.002256140  96.37777
1815                   1822     5  0.005640349  96.38341
1816                   1823     7  0.007896488  96.39130
1817                   1824     3  0.003384209  96.39469
1818                   1825     8  0.009024558  96.40371
1819                   1826     8  0.009024558  96.41274
1820                   1827    23  0.025945604  96.43868
1821                   1828     5  0.005640349  96.44432
1822                   1829     5  0.005640349  96.44996
1823                   1830     4  0.004512279  96.45448
1824                   1831     5  0.005640349  96.46012
1825                   1832     4  0.004512279  96.46463
1826                   1833     4  0.004512279  96.46914
1827                   1834     4  0.004512279  96.47365
1828                   1835     9  0.010152628  96.48381
1829                   1836     9  0.010152628  96.49396
1830                   1837     7  0.007896488  96.50186
1831                   1838     1  0.001128070  96.50298
1832                   1839     3  0.003384209  96.50637
1833                   1841     4  0.004512279  96.51088
1834                   1842     8  0.009024558  96.51990
1835                   1843     2  0.002256140  96.52216
1836                   1844     1  0.001128070  96.52329
1837                   1845     5  0.005640349  96.52893
1838                   1846     2  0.002256140  96.53119
1839                   1847     3  0.003384209  96.53457
1840                   1848     2  0.002256140  96.53683
1841                   1849     2  0.002256140  96.53908
1842                   1850     1  0.001128070  96.54021
1843                   1851     2  0.002256140  96.54247
1844                   1852     5  0.005640349  96.54811
1845                   1853     3  0.003384209  96.55149
1846                   1854     2  0.002256140  96.55375
1847                   1856     5  0.005640349  96.55939
1848                   1857     5  0.005640349  96.56503
1849                   1858     1  0.001128070  96.56616
1850                   1859     1  0.001128070  96.56728
1851                   1860     2  0.002256140  96.56954
1852                   1861     1  0.001128070  96.57067
1853                   1862     5  0.005640349  96.57631
1854                   1863     3  0.003384209  96.57969
1855                   1864     6  0.006768419  96.58646
1856                   1865     2  0.002256140  96.58872
1857                   1866     1  0.001128070  96.58985
1858                   1867     1  0.001128070  96.59097
1859                   1868     1  0.001128070  96.59210
1860                   1869     1  0.001128070  96.59323
1861                   1870     3  0.003384209  96.59661
1862                   1871     3  0.003384209  96.60000
1863                   1872     2  0.002256140  96.60225
1864                   1873     3  0.003384209  96.60564
1865                   1875     1  0.001128070  96.60677
1866                   1876     1  0.001128070  96.60789
1867                   1877     4  0.004512279  96.61241
1868                   1878     4  0.004512279  96.61692
1869                   1879     5  0.005640349  96.62256
1870                   1880     3  0.003384209  96.62594
1871                   1881     3  0.003384209  96.62933
1872                   1882     2  0.002256140  96.63158
1873                   1883     1  0.001128070  96.63271
1874                   1884     2  0.002256140  96.63497
1875                   1885     6  0.006768419  96.64174
1876                   1886     3  0.003384209  96.64512
1877                   1887     3  0.003384209  96.64850
1878                   1889     1  0.001128070  96.64963
1879                   1890     1  0.001128070  96.65076
1880                   1891     4  0.004512279  96.65527
1881                   1892     1  0.001128070  96.65640
1882                   1894     2  0.002256140  96.65866
1883                   1896     1  0.001128070  96.65979
1884                   1897     2  0.002256140  96.66204
1885                   1898     1  0.001128070  96.66317
1886                   1899     2  0.002256140  96.66543
1887                   1900     3  0.003384209  96.66881
1888                   1901     3  0.003384209  96.67219
1889                   1902     2  0.002256140  96.67445
1890                   1903     1  0.001128070  96.67558
1891                   1904     2  0.002256140  96.67783
1892                   1907     3  0.003384209  96.68122
1893                   1908     2  0.002256140  96.68347
1894                   1909     1  0.001128070  96.68460
1895                   1910     3  0.003384209  96.68799
1896                   1911     3  0.003384209  96.69137
1897                   1912     2  0.002256140  96.69363
1898                   1913     1  0.001128070  96.69476
1899                   1914     3  0.003384209  96.69814
1900                   1915     1  0.001128070  96.69927
1901                   1916     2  0.002256140  96.70152
1902                   1917     1  0.001128070  96.70265
1903                   1919     3  0.003384209  96.70604
1904                   1920     2  0.002256140  96.70829
1905                   1921     5  0.005640349  96.71393
1906                   1922     5  0.005640349  96.71957
1907                   1923     2  0.002256140  96.72183
1908                   1924     5  0.005640349  96.72747
1909                   1925     3  0.003384209  96.73085
1910                   1926     1  0.001128070  96.73198
1911                   1927     3  0.003384209  96.73537
1912                   1928     1  0.001128070  96.73649
1913                   1929     3  0.003384209  96.73988
1914                   1930     2  0.002256140  96.74213
1915                   1931    10  0.011280698  96.75342
1916                   1932    11  0.012408767  96.76582
1917                   1933     1  0.001128070  96.76695
1918                   1934     4  0.004512279  96.77146
1919                   1935     1  0.001128070  96.77259
1920                   1936     3  0.003384209  96.77598
1921                   1938     3  0.003384209  96.77936
1922                   1939     2  0.002256140  96.78162
1923                   1940     1  0.001128070  96.78275
1924                   1942     1  0.001128070  96.78387
1925                   1944     6  0.006768419  96.79064
1926                   1945     4  0.004512279  96.79515
1927                   1946     8  0.009024558  96.80418
1928                   1947     3  0.003384209  96.80756
1929                   1948     3  0.003384209  96.81095
1930                   1949     2  0.002256140  96.81320
1931                   1950     1  0.001128070  96.81433
1932                   1951     1  0.001128070  96.81546
1933                   1952     2  0.002256140  96.81772
1934                   1953     4  0.004512279  96.82223
1935                   1954     2  0.002256140  96.82448
1936                   1955     2  0.002256140  96.82674
1937                   1956     6  0.006768419  96.83351
1938                   1957     1  0.001128070  96.83464
1939                   1958     1  0.001128070  96.83576
1940                   1959     2  0.002256140  96.83802
1941                   1961     7  0.007896488  96.84592
1942                   1962     1  0.001128070  96.84705
1943                   1963     1  0.001128070  96.84817
1944                   1964     1  0.001128070  96.84930
1945                   1965     1  0.001128070  96.85043
1946                   1966     2  0.002256140  96.85269
1947                   1967     1  0.001128070  96.85381
1948                   1968     1  0.001128070  96.85494
1949                   1969     1  0.001128070  96.85607
1950                   1970     1  0.001128070  96.85720
1951                   1972     2  0.002256140  96.85945
1952                   1977     1  0.001128070  96.86058
1953                   1978     4  0.004512279  96.86509
1954                   1980     4  0.004512279  96.86961
1955                   1981     2  0.002256140  96.87186
1956                   1982     3  0.003384209  96.87525
1957                   1983     2  0.002256140  96.87750
1958                   1984     5  0.005640349  96.88314
1959                   1985     3  0.003384209  96.88653
1960                   1986     3  0.003384209  96.88991
1961                   1987     1  0.001128070  96.89104
1962                   1988     1  0.001128070  96.89217
1963                   1989     2  0.002256140  96.89442
1964                   1991     2  0.002256140  96.89668
1965                   1992     2  0.002256140  96.89894
1966                   1995     2  0.002256140  96.90119
1967                   1997     1  0.001128070  96.90232
1968                   1998     2  0.002256140  96.90458
1969                   1999     3  0.003384209  96.90796
1970                   2000     1  0.001128070  96.90909
1971                   2001     2  0.002256140  96.91134
1972                   2002     2  0.002256140  96.91360
1973                   2003     2  0.002256140  96.91586
1974                   2004     2  0.002256140  96.91811
1975                   2006     5  0.005640349  96.92375
1976                   2008     4  0.004512279  96.92827
1977                   2009     2  0.002256140  96.93052
1978                   2010     2  0.002256140  96.93278
1979                   2011     1  0.001128070  96.93391
1980                   2013     3  0.003384209  96.93729
1981                   2016     3  0.003384209  96.94067
1982                   2017     1  0.001128070  96.94180
1983                   2018     6  0.006768419  96.94857
1984                   2019     3  0.003384209  96.95196
1985                   2020     2  0.002256140  96.95421
1986                   2022     2  0.002256140  96.95647
1987                   2023     2  0.002256140  96.95872
1988                   2024     1  0.001128070  96.95985
1989                   2026     1  0.001128070  96.96098
1990                   2027     2  0.002256140  96.96324
1991                   2028     1  0.001128070  96.96436
1992                   2031     1  0.001128070  96.96549
1993                   2032     1  0.001128070  96.96662
1994                   2034     1  0.001128070  96.96775
1995                   2035     1  0.001128070  96.96888
1996                   2036     2  0.002256140  96.97113
1997                   2037     2  0.002256140  96.97339
1998                   2039     2  0.002256140  96.97564
1999                   2040     3  0.003384209  96.97903
2000                   2043     4  0.004512279  96.98354
2001                   2044     5  0.005640349  96.98918
2002                   2045     3  0.003384209  96.99257
2003                   2046     1  0.001128070  96.99369
2004                   2050     2  0.002256140  96.99595
2005                   2051     3  0.003384209  96.99933
2006                   2052     1  0.001128070  97.00046
2007                   2053     1  0.001128070  97.00159
2008                   2054     1  0.001128070  97.00272
2009                   2055     1  0.001128070  97.00385
2010                   2056     1  0.001128070  97.00497
2011                   2057     1  0.001128070  97.00610
2012                   2058     2  0.002256140  97.00836
2013                   2059     2  0.002256140  97.01062
2014                   2060     3  0.003384209  97.01400
2015                   2064     2  0.002256140  97.01626
2016                   2065     3  0.003384209  97.01964
2017                   2066     2  0.002256140  97.02190
2018                   2067     2  0.002256140  97.02415
2019                   2068     2  0.002256140  97.02641
2020                   2069     2  0.002256140  97.02866
2021                   2070     2  0.002256140  97.03092
2022                   2071     1  0.001128070  97.03205
2023                   2072     1  0.001128070  97.03318
2024                   2073     2  0.002256140  97.03543
2025                   2074     1  0.001128070  97.03656
2026                   2075     2  0.002256140  97.03882
2027                   2078     3  0.003384209  97.04220
2028                   2079     2  0.002256140  97.04446
2029                   2080     1  0.001128070  97.04559
2030                   2081     1  0.001128070  97.04671
2031                   2082     2  0.002256140  97.04897
2032                   2083     2  0.002256140  97.05123
2033                   2084     2  0.002256140  97.05348
2034                   2085     2  0.002256140  97.05574
2035                   2086     1  0.001128070  97.05687
2036                   2087     2  0.002256140  97.05912
2037                   2088     1  0.001128070  97.06025
2038                   2089     2  0.002256140  97.06251
2039                   2091     5  0.005640349  97.06815
2040                   2093     2  0.002256140  97.07040
2041                   2095     2  0.002256140  97.07266
2042                   2098     1  0.001128070  97.07379
2043                   2099     9  0.010152628  97.08394
2044                   2100     8  0.009024558  97.09296
2045                   2101     6  0.006768419  97.09973
2046                   2102     2  0.002256140  97.10199
2047                   2103     4  0.004512279  97.10650
2048                   2105     1  0.001128070  97.10763
2049                   2107     3  0.003384209  97.11101
2050                   2108     1  0.001128070  97.11214
2051                   2109     4  0.004512279  97.11665
2052                   2110     2  0.002256140  97.11891
2053                   2111     3  0.003384209  97.12229
2054                   2112     1  0.001128070  97.12342
2055                   2113     2  0.002256140  97.12568
2056                   2114     1  0.001128070  97.12681
2057                   2115     1  0.001128070  97.12793
2058                   2117     1  0.001128070  97.12906
2059                   2121     2  0.002256140  97.13132
2060                   2122     2  0.002256140  97.13357
2061                   2123    13  0.014664907  97.14824
2062                   2125     3  0.003384209  97.15162
2063                   2126     6  0.006768419  97.15839
2064                   2127     1  0.001128070  97.15952
2065                   2128     3  0.003384209  97.16290
2066                   2131     1  0.001128070  97.16403
2067                   2132     2  0.002256140  97.16629
2068                   2133     8  0.009024558  97.17531
2069                   2136     1  0.001128070  97.17644
2070                   2137     1  0.001128070  97.17757
2071                   2138     1  0.001128070  97.17870
2072                   2139     2  0.002256140  97.18095
2073                   2140     1  0.001128070  97.18208
2074                   2141     1  0.001128070  97.18321
2075                   2142     2  0.002256140  97.18547
2076                   2143     1  0.001128070  97.18659
2077                   2145     2  0.002256140  97.18885
2078                   2146     1  0.001128070  97.18998
2079                   2147     1  0.001128070  97.19111
2080                   2151     2  0.002256140  97.19336
2081                   2152     1  0.001128070  97.19449
2082                   2153     2  0.002256140  97.19675
2083                   2154     7  0.007896488  97.20464
2084                   2155    10  0.011280698  97.21592
2085                   2156     8  0.009024558  97.22495
2086                   2157     3  0.003384209  97.22833
2087                   2159     2  0.002256140  97.23059
2088                   2160     1  0.001128070  97.23172
2089                   2161     2  0.002256140  97.23397
2090                   2164     4  0.004512279  97.23849
2091                   2165     1  0.001128070  97.23961
2092                   2166     1  0.001128070  97.24074
2093                   2167     1  0.001128070  97.24187
2094                   2168     2  0.002256140  97.24413
2095                   2169     4  0.004512279  97.24864
2096                   2171     6  0.006768419  97.25541
2097                   2173     1  0.001128070  97.25653
2098                   2174     1  0.001128070  97.25766
2099                   2175     2  0.002256140  97.25992
2100                   2177     1  0.001128070  97.26105
2101                   2178     4  0.004512279  97.26556
2102                   2179     4  0.004512279  97.27007
2103                   2180     1  0.001128070  97.27120
2104                   2181     1  0.001128070  97.27233
2105                   2183     5  0.005640349  97.27797
2106                   2184     2  0.002256140  97.28022
2107                   2185     9  0.010152628  97.29038
2108                   2186     4  0.004512279  97.29489
2109                   2187     2  0.002256140  97.29714
2110                   2189     3  0.003384209  97.30053
2111                   2190     3  0.003384209  97.30391
2112                   2191     6  0.006768419  97.31068
2113                   2194     3  0.003384209  97.31407
2114                   2195     1  0.001128070  97.31519
2115                   2197     2  0.002256140  97.31745
2116                   2200     1  0.001128070  97.31858
2117                   2201     1  0.001128070  97.31971
2118                   2203     1  0.001128070  97.32083
2119                   2204     3  0.003384209  97.32422
2120                   2208     1  0.001128070  97.32535
2121                   2209     2  0.002256140  97.32760
2122                   2210     3  0.003384209  97.33099
2123                   2211     2  0.002256140  97.33324
2124                   2212     2  0.002256140  97.33550
2125                   2213     1  0.001128070  97.33663
2126                   2214     1  0.001128070  97.33776
2127                   2215     2  0.002256140  97.34001
2128                   2216     1  0.001128070  97.34114
2129                   2219     1  0.001128070  97.34227
2130                   2220     2  0.002256140  97.34452
2131                   2222     2  0.002256140  97.34678
2132                   2223     1  0.001128070  97.34791
2133                   2224     1  0.001128070  97.34904
2134                   2225     1  0.001128070  97.35016
2135                   2226     1  0.001128070  97.35129
2136                   2228     3  0.003384209  97.35468
2137                   2229     3  0.003384209  97.35806
2138                   2231     3  0.003384209  97.36144
2139                   2233     2  0.002256140  97.36370
2140                   2234     1  0.001128070  97.36483
2141                   2235     3  0.003384209  97.36821
2142                   2236     1  0.001128070  97.36934
2143                   2237     3  0.003384209  97.37273
2144                   2238     1  0.001128070  97.37385
2145                   2239     1  0.001128070  97.37498
2146                   2240     4  0.004512279  97.37949
2147                   2241     1  0.001128070  97.38062
2148                   2244     1  0.001128070  97.38175
2149                   2245     1  0.001128070  97.38288
2150                   2246     1  0.001128070  97.38401
2151                   2247     3  0.003384209  97.38739
2152                   2248     1  0.001128070  97.38852
2153                   2249     1  0.001128070  97.38965
2154                   2250     1  0.001128070  97.39077
2155                   2251     1  0.001128070  97.39190
2156                   2253     1  0.001128070  97.39303
2157                   2254     2  0.002256140  97.39529
2158                   2255     2  0.002256140  97.39754
2159                   2256     1  0.001128070  97.39867
2160                   2257     1  0.001128070  97.39980
2161                   2258     4  0.004512279  97.40431
2162                   2259     2  0.002256140  97.40657
2163                   2260     1  0.001128070  97.40770
2164                   2261     1  0.001128070  97.40882
2165                   2266     1  0.001128070  97.40995
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2206                   2326     3  0.003384209  97.49456
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2250                   2383     3  0.003384209  97.58819
2251                   2384     5  0.005640349  97.59383
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2557                   2834     1  0.001128070  98.29210
2558                   2836     1  0.001128070  98.29323
2559                   2838     1  0.001128070  98.29436
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2562                   2844     8  0.009024558  98.30790
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2573                   2859     3  0.003384209  98.32707
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2576                   2864     1  0.001128070  98.33046
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2578                   2866     6  0.006768419  98.33835
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2582                   2870     1  0.001128070  98.34851
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2589                   2879     1  0.001128070  98.36317
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2591                   2883     1  0.001128070  98.36655
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2602                   2900     1  0.001128070  98.37896
2603                   2901     9  0.010152628  98.38912
2604                   2902    12  0.013536837  98.40265
2605                   2903     5  0.005640349  98.40829
2606                   2907     1  0.001128070  98.40942
2607                   2908     6  0.006768419  98.41619
2608                   2909     1  0.001128070  98.41732
2609                   2910     1  0.001128070  98.41845
2610                   2911     3  0.003384209  98.42183
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2612                   2913     1  0.001128070  98.42634
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2619                   2920     1  0.001128070  98.43650
2620                   2922     9  0.010152628  98.44665
2621                   2923     3  0.003384209  98.45003
2622                   2924     5  0.005640349  98.45567
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2627                   2929     1  0.001128070  98.46470
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2629                   2931     2  0.002256140  98.46921
2630                   2932     2  0.002256140  98.47147
2631                   2934     2  0.002256140  98.47372
2632                   2936     1  0.001128070  98.47485
2633                   2939     1  0.001128070  98.47598
2634                   2940     1  0.001128070  98.47711
2635                   2941     3  0.003384209  98.48049
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2641                   2947     1  0.001128070  98.48839
2642                   2949     1  0.001128070  98.48951
2643                   2950     1  0.001128070  98.49064
2644                   2953     1  0.001128070  98.49177
2645                   2954     1  0.001128070  98.49290
2646                   2956     1  0.001128070  98.49403
2647                   2958     1  0.001128070  98.49515
2648                   2961     2  0.002256140  98.49741
2649                   2963     1  0.001128070  98.49854
2650                   2965     1  0.001128070  98.49967
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2654                   2973     2  0.002256140  98.50869
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2659                   2978     1  0.001128070  98.51997
2660                   2979     1  0.001128070  98.52110
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2664                   2985     4  0.004512279  98.53013
2665                   2986     1  0.001128070  98.53125
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2667                   2988     1  0.001128070  98.53351
2668                   2989     2  0.002256140  98.53577
2669                   2990     1  0.001128070  98.53689
2670                   2991     2  0.002256140  98.53915
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2672                   2994     1  0.001128070  98.54141
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2674                   2997     1  0.001128070  98.54366
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2676                   3000     2  0.002256140  98.54817
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2678                   3003     1  0.001128070  98.55043
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2680                   3018     1  0.001128070  98.55269
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2682                   3020     1  0.001128070  98.55494
2683                   3021     6  0.006768419  98.56171
2684                   3023     2  0.002256140  98.56397
2685                   3027     2  0.002256140  98.56622
2686                   3029     1  0.001128070  98.56735
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2688                   3032     1  0.001128070  98.56961
2689                   3033     1  0.001128070  98.57074
2690                   3035     1  0.001128070  98.57186
2691                   3041     5  0.005640349  98.57750
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2694                   3044     1  0.001128070  98.58314
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2700                   3054     1  0.001128070  98.59555
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2706                   3065     2  0.002256140  98.60683
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2710                   3071     3  0.003384209  98.61924
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2713                   3075     3  0.003384209  98.62488
2714                   3077     1  0.001128070  98.62601
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2717                   3088     1  0.001128070  98.62940
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2720                   3093     3  0.003384209  98.63616
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2734                   3118     1  0.001128070  98.66324
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2746                   3137     6  0.006768419  98.69257
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2749                   3141     1  0.001128070  98.69595
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2755                   3157     1  0.001128070  98.70723
2756                   3159    26  0.029329814  98.73656
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2790                   3225     1  0.001128070  98.79973
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2798                   3238     3  0.003384209  98.81214
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2800                   3240     1  0.001128070  98.81440
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2802                   3248     4  0.004512279  98.82004
2803                   3251     1  0.001128070  98.82117
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2806                   3254     1  0.001128070  98.82568
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2827                   3294     6  0.006768419  98.86742
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2829                   3297     2  0.002256140  98.87080
2830                   3298     3  0.003384209  98.87419
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2896                   3398     8  0.009024558  99.05806
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2900                   3402     2  0.002256140  99.07047
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2907                   3412     5  0.005640349  99.09190
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2915                   3425     4  0.004512279  99.10995
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2920                   3432     8  0.009024558  99.12687
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2927                   3443     4  0.004512279  99.14718
2928                   3444     8  0.009024558  99.15620
2929                   3445     5  0.005640349  99.16184
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2931                   3449     1  0.001128070  99.16748
2932                   3450     1  0.001128070  99.16861
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2938                   3457     1  0.001128070  99.17877
2939                   3458     2  0.002256140  99.18102
2940                   3459     4  0.004512279  99.18553
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2942                   3461     1  0.001128070  99.18779
2943                   3462     4  0.004512279  99.19230
2944                   3463   118  0.133112232  99.32541
2945                   3464   164  0.185003441  99.51042
2946                   3465    63  0.071068395  99.58149
2947                   3466     1  0.001128070  99.58261
2948                   3467     2  0.002256140  99.58487
2949                   3468     6  0.006768419  99.59164
2950                   3469     9  0.010152628  99.60179
2951                   3470    19  0.021433325  99.62322
2952                   3471     9  0.010152628  99.63338
2953                   3472     5  0.005640349  99.63902
2954                   3473     4  0.004512279  99.64353
2955                   3474     4  0.004512279  99.64804
2956                   3476     3  0.003384209  99.65143
2957                   3477     1  0.001128070  99.65255
2958                   3478     3  0.003384209  99.65594
2959                   3479     5  0.005640349  99.66158
2960                   3480     4  0.004512279  99.66609
2961                   3481     1  0.001128070  99.66722
2962                   3482     1  0.001128070  99.66835
2963                   3483     3  0.003384209  99.67173
2964                   3485    15  0.016921046  99.68865
2965                   3486     4  0.004512279  99.69317
2966                   3487     6  0.006768419  99.69993
2967                   3488     2  0.002256140  99.70219
2968                   3489     2  0.002256140  99.70445
2969                   3491     1  0.001128070  99.70557
2970                   3492     3  0.003384209  99.70896
2971                   3493     2  0.002256140  99.71121
2972                   3494     4  0.004512279  99.71573
2973                   3495     9  0.010152628  99.72588
2974                   3497     2  0.002256140  99.72814
2975                   3499     1  0.001128070  99.72926
2976                   3502     6  0.006768419  99.73603
2977                   3504     1  0.001128070  99.73716
2978                   3505     1  0.001128070  99.73829
2979                   3507     2  0.002256140  99.74054
2980                   3508     2  0.002256140  99.74280
2981                   3509     2  0.002256140  99.74506
2982                   3510     3  0.003384209  99.74844
2983                   3511     3  0.003384209  99.75182
2984                   3512     3  0.003384209  99.75521
2985                   3513     1  0.001128070  99.75634
2986                   3516     3  0.003384209  99.75972
2987                   3517     1  0.001128070  99.76085
2988                   3518     1  0.001128070  99.76198
2989                   3521     2  0.002256140  99.76423
2990                   3522     1  0.001128070  99.76536
2991                   3523     4  0.004512279  99.76987
2992                   3524     3  0.003384209  99.77326
2993                   3525     3  0.003384209  99.77664
2994                   3526     1  0.001128070  99.77777
2995                   3527     1  0.001128070  99.77890
2996                   3529     1  0.001128070  99.78003
2997                   3531     1  0.001128070  99.78115
2998                   3532     1  0.001128070  99.78228
2999                   3534     2  0.002256140  99.78454
3000                   3536     2  0.002256140  99.78679
3001                   3537     2  0.002256140  99.78905
3002                   3538     1  0.001128070  99.79018
3003                   3539     1  0.001128070  99.79131
3004                   3540     3  0.003384209  99.79469
3005                   3542     1  0.001128070  99.79582
3006                   3544     2  0.002256140  99.79808
3007                   3546     2  0.002256140  99.80033
3008                   3547     1  0.001128070  99.80146
3009                   3548     1  0.001128070  99.80259
3010                   3549     1  0.001128070  99.80372
3011                   3551     2  0.002256140  99.80597
3012                   3552     2  0.002256140  99.80823
3013                   3553     1  0.001128070  99.80936
3014                   3555     1  0.001128070  99.81048
3015                   3557     3  0.003384209  99.81387
3016                   3558     4  0.004512279  99.81838
3017                   3559     4  0.004512279  99.82289
3018                   3561     2  0.002256140  99.82515
3019                   3563     3  0.003384209  99.82853
3020                   3564     1  0.001128070  99.82966
3021                   3565     2  0.002256140  99.83192
3022                   3566     3  0.003384209  99.83530
3023                   3567     2  0.002256140  99.83756
3024                   3568     2  0.002256140  99.83981
3025                   3569     1  0.001128070  99.84094
3026                   3572     1  0.001128070  99.84207
3027                   3573     2  0.002256140  99.84433
3028                   3575     2  0.002256140  99.84658
3029                   3576     1  0.001128070  99.84771
3030                   3577     1  0.001128070  99.84884
3031                   3578     1  0.001128070  99.84997
3032                   3579     4  0.004512279  99.85448
3033                   3580     1  0.001128070  99.85561
3034                   3581     2  0.002256140  99.85786
3035                   3584     1  0.001128070  99.85899
3036                   3585     1  0.001128070  99.86012
3037                   3586     1  0.001128070  99.86125
3038                   3587     4  0.004512279  99.86576
3039                   3588     1  0.001128070  99.86689
3040                   3589     6  0.006768419  99.87366
3041                   3590     3  0.003384209  99.87704
3042                   3591     2  0.002256140  99.87930
3043                   3592     2  0.002256140  99.88155
3044                   3595     1  0.001128070  99.88268
3045                   3596     2  0.002256140  99.88494
3046                   3598     5  0.005640349  99.89058
3047                   3599     2  0.002256140  99.89283
3048                   3600     3  0.003384209  99.89622
3049                   3604     1  0.001128070  99.89735
3050                   3605     3  0.003384209  99.90073
3051                   3606     5  0.005640349  99.90637
3052                   3607     3  0.003384209  99.90975
3053                   3608     1  0.001128070  99.91088
3054                   3609     2  0.002256140  99.91314
3055                   3612     1  0.001128070  99.91427
3056                   3613     1  0.001128070  99.91539
3057                   3614     2  0.002256140  99.91765
3058                   3615     1  0.001128070  99.91878
3059                   3618     2  0.002256140  99.92104
3060                   3621     4  0.004512279  99.92555
3061                   3622     1  0.001128070  99.92668
3062                   3624     3  0.003384209  99.93006
3063                   3625     2  0.002256140  99.93232
3064                   3626     1  0.001128070  99.93344
3065                   3627     1  0.001128070  99.93457
3066                   3629     1  0.001128070  99.93570
3067                   3630     1  0.001128070  99.93683
3068                   3631     2  0.002256140  99.93908
3069                   3633     2  0.002256140  99.94134
3070                   3634     2  0.002256140  99.94360
3071                   3635     7  0.007896488  99.95149
3072                   3636     3  0.003384209  99.95488
3073                   3637     2  0.002256140  99.95713
3074                   3638     2  0.002256140  99.95939
3075                   3639     3  0.003384209  99.96277
3076                   3640     4  0.004512279  99.96729
3077                   3642     3  0.003384209  99.97067
3078                   3643     3  0.003384209  99.97405
3079                   3644     1  0.001128070  99.97518
3080                   3645     2  0.002256140  99.97744
3081                   3646     2  0.002256140  99.97969
3082                   3648     1  0.001128070  99.98082
3083                   3650     2  0.002256140  99.98308
3084                   3651     3  0.003384209  99.98646
3085                   3658     1  0.001128070  99.98759
3086                   3668     1  0.001128070  99.98872
3087                   3682     2  0.002256140  99.99098
3088                   3688     1  0.001128070  99.99210
3089                   3690     2  0.002256140  99.99436
3090                   3713     2  0.002256140  99.99662
3091                   3716     1  0.001128070  99.99774
3092                   3718     1  0.001128070  99.99887
3093                  22574     1  0.001128070 100.00000

phishing_bruto |> group_by(time_domain_expiration) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 4,348 × 4
# Groups:   time_domain_expiration [3,093]
   time_domain_expiration phishing     n  porc
                    <int> <fct>    <int> <dbl>
 1                     -1 0        14928  57.0
 2                     -1 1        11282  43.0
 3                      0 0           25  37.9
 4                      0 1           41  62.1
 5                      1 0           56  50.5
 6                      1 1           55  49.5
 7                      2 0           36  48  
 8                      2 1           39  52  
 9                      3 0           31  45.6
10                      3 1           37  54.4
# … with 4,338 more rows

phishing_bruto |> summarise(min = min(time_domain_expiration),
                            max = max(time_domain_expiration))

  min   max
1  -1 22574

Vemos que volvemos a tener el valor -1, el cual nos indica que la característica no es aplicable en aquellas observaciones que lo presentan. Por otra parte, observamos un valor máximo más elevado que el anterior.

phishing_bruto |> summarise(mean = mean(time_domain_expiration),
                            median = median(time_domain_expiration))

      mean median
1 352.0433    168

Vemos que los valores de la media y mediana son muy distintos, lo que nos da a intuír que tendremos una distribución considerablemente asimétrica, donde la media será muy poco representativa de nuestros datos.

# Visualización
ggplot(phishing_bruto, aes(x = time_domain_expiration)) + 
  geom_density(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por tiempo de la expriación del dominio", 
       x = "Tiempo de la expiración del dominio (en días)", y = "Densidad", fill = "Phishing") +
  scale_x_continuous(breaks = seq(0, 20000, 1500)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Parece que a partir del 3500 aproxiamdamente, apenas podemos ver observaciones

phishing_bruto |> filter(time_domain_expiration >= 3500) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

  phishing   n     porc
1        0 211 87.91667
2        1  29 12.08333

Y como vemos, a parte de tener muy pocos registros, las proporciones indican que casi todos los registros, como pasaba también en la variable anterior, se corresponden a webs legítimas. Por lo tanto, usando una lógica similar, imputaremos el valor 3500 a aquellos registros que tengan uno más elevado en función de esta variable, para de esta forma, simplificar en gran medida los valores que puede tomar el tiempo de expiración del dominio.

Variables de directorio

qty_dot_directory count (.) in directory qty_hyphen_directory count (-) in directory qty_underline_directory count (_) in directory qty_slash_directory count (/) in directory qty_questionmark_directory count (?) in directory qty_equal_directory count (=) in directory qty_at_directory count (@) in directory qty_and_directory count (&) in directory qty_exclamation_directory count (!) in directory qty_space_directory count ( ) in directory qty_tilde_directory count (~) in directory qty_comma_directory count (,) in directory qty_plus_directory count (+) in directory qty_asterisk_directory count (*) in directory qty_hashtag_directory count (#) in directory qty_dollar_directory count ($) in directory qty_percent_directory count (%) in directory directory_length directory length

Comprobamos el número de valores únicos en estas variables:

phishing_bruto |> select(contains("directory")) |> 
  summarise_all(list(~n_distinct(.)))

  qty_dot_directory qty_hyphen_directory qty_underline_directory
1                16                   24                      18
  qty_slash_directory qty_questionmark_directory qty_equal_directory
1                  20                          2                   7
  qty_at_directory qty_and_directory qty_exclamation_directory
1               13                14                         9
  qty_space_directory qty_tilde_directory qty_comma_directory
1                   9                   7                   5
  qty_plus_directory qty_asterisk_directory qty_hashtag_directory
1                 10                     16                     2
  qty_dollar_directory qty_percent_directory directory_length
1                   11                    43              239

Convertimos a factor para una mejor visualización:

phishing_bruto <- phishing_bruto |> mutate(qty_dot_directory = as_factor(qty_dot_directory),
                         qty_hyphen_directory = as_factor(qty_hyphen_directory),
                         qty_underline_directory = as_factor(qty_underline_directory),
                         qty_slash_directory = as_factor(qty_slash_directory),
                         qty_questionmark_directory = as_factor(qty_questionmark_directory),
                         qty_equal_directory = as_factor(qty_equal_directory),
                         qty_at_directory = as_factor(qty_at_directory),
                         qty_and_directory = as_factor(qty_and_directory),
                         qty_exclamation_directory = as_factor(qty_exclamation_directory),
                         qty_space_directory = as_factor(qty_space_directory),
                         qty_tilde_directory = as_factor(qty_tilde_directory),
                         qty_comma_directory =as_factor(qty_comma_directory),
                         qty_plus_directory = as_factor(qty_plus_directory),
                         qty_asterisk_directory = as_factor(qty_asterisk_directory),
                         qty_hashtag_directory = as_factor(qty_hashtag_directory),
                         qty_dollar_directory = as_factor(qty_dollar_directory))

En este caso, en función de la cantidad de valores únicos y para una mejor visualización, no convertimos en factor las variables de directorio: qty_percent_directory y directory_length.

Directory qty grupo 1

Análisis cuantitativo:

# qty_dot_directory
phishing_bruto |> group_by(qty_dot_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 23 × 4
# Groups:   qty_dot_directory [16]
   qty_dot_directory phishing     n  porc
   <fct>             <fct>    <int> <dbl>
 1 -1                0        46762 98.4 
 2 -1                1          747  1.57
 3 0                 0         9522 36.8 
 4 0                 1        16372 63.2 
 5 1                 0         1654 12.4 
 6 1                 1        11653 87.6 
 7 2                 0           44  3.85
 8 2                 1         1098 96.1 
 9 3                 0           14  3.38
10 3                 1          400 96.6 
# … with 13 more rows

# qty_hyphen_directory
phishing_bruto |> group_by(qty_hyphen_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 45 × 4
# Groups:   qty_hyphen_directory [24]
   qty_hyphen_directory phishing     n  porc
   <fct>                <fct>    <int> <dbl>
 1 -1                   0        46762 98.4 
 2 -1                   1          747  1.57
 3 0                    0        10134 30.1 
 4 0                    1        23532 69.9 
 5 1                    0          296  5.98
 6 1                    1         4650 94.0 
 7 2                    0          173 16.8 
 8 2                    1          858 83.2 
 9 3                    0          109 25.5 
10 3                    1          319 74.5 
# … with 35 more rows

# qty_underline_directory
phishing_bruto |> group_by(qty_underline_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 32 × 4
# Groups:   qty_underline_directory [18]
   qty_underline_directory phishing     n  porc
   <fct>                   <fct>    <int> <dbl>
 1 -1                      0        46762 98.4 
 2 -1                      1          747  1.57
 3 0                       0        10675 28.2 
 4 0                       1        27193 71.8 
 5 1                       0          313 13.7 
 6 1                       1         1971 86.3 
 7 2                       0          116 18.9 
 8 2                       1          499 81.1 
 9 3                       0           69 35.2 
10 3                       1          127 64.8 
# … with 22 more rows

# qty_slash_directory
phishing_bruto |> group_by(qty_slash_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 31 × 4
# Groups:   qty_slash_directory [20]
   qty_slash_directory phishing     n  porc
   <fct>               <fct>    <int> <dbl>
 1 -1                  0        46762 98.4 
 2 -1                  1          747  1.57
 3 1                   0         7123 51.4 
 4 1                   1         6735 48.6 
 5 2                   0         2258 27.7 
 6 2                   1         5895 72.3 
 7 3                   0         1216 14.5 
 8 3                   1         7172 85.5 
 9 4                   0          283  6.11
10 4                   1         4348 93.9 
# … with 21 more rows

# qty_questionmark_directory
phishing_bruto |> group_by(qty_questionmark_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   qty_questionmark_directory [2]
  qty_questionmark_directory phishing     n  porc
  <fct>                      <fct>    <int> <dbl>
1 -1                         0        46762 98.4 
2 -1                         1          747  1.57
3 0                          0        11238 27.3 
4 0                          1        29900 72.7

Como podemos ver, antes de empezar a observar la distribución de nuestra objetivo en estas variables, volvemos a tener niveles negativos en variables representativas de cantidades de caracteres. Una vez más, podemos interpretar dichos niveles de forma que refleja que dicha característica no se aplica en los directorios o no se puede determinar para esos directorios en cuestión. Y por otra parte, cuando es 0, supondremos que la característica está presente pero en este caso no se encuentra presente en el enlance en cuestión.

Visualización:

# qty_dot_directory
ggplot(phishing_bruto, aes(x = qty_dot_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (.) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_hyphen_directory
ggplot(phishing_bruto, aes(x = qty_hyphen_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (-) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_underline_directory
ggplot(phishing_bruto, aes(x = qty_underline_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (_) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_slash_directory
ggplot(phishing_bruto, aes(x = qty_slash_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (/) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_questionmark_directory
ggplot(phishing_bruto, aes(x = qty_questionmark_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (?) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

De forma general podemos ver en un principio, que el nivel más frecuente en este grupo de variables es aquel que indica que dicha característica no se aplica en dichas observaciones.

Conclusiones:

qty_dot_directory: Vemos que cuando no se aplica la característica, la proporción de webs legítimas es cercana al 100%. Sin embargo, cuando la caractrística puede estar presente pero la cantidad de puntos en directorio es 0, el porcentaje de webs de phishing es ligeramente superior al de legítimas y considerablemente mayor si lo comparamos con las proporciones globales. A partir del 0, vemos como a parte de que no disponemos de muchos datos en la mayoría de niveles, la probabilidad de que la página web sea de phishing es cercana o superior al 90%. De este modo, una posible tranformación para esta variable podría ser una recategorización en tres niveles: -1, 0, >0.
qty_hyphen_directory: En este caso, la objetivo se comporta de forma similar a nuestra nterior variable. No obstante, sí podemos observar en niveles donde no contamos con demasiados datos, las proporciones de webs de phishing y legítimas presentan más variedad que en la variable anterior. Es decir, podemos ver que cuando la cantidad de puntos en directorio es mayor que 9, hay una mayor presencia de webs legítimas, y en cambio cuando dicha cantidad está entre 2 y 4, predominan las webs de phishing. Podríamos considerar en rescatar información relvante de forma que diferenciemos un mayor número de niveles en base a sus proporciones, pero ya que contamos con cantidades muy pequeñas de observaciones en la mayoría de ellos, vamos a aplicar una recategorización similar a la anterior y de esta forma también, evitar el sobreajuste: -1, 0, >0.
qty_underline_directory: Sucede exactamente lo mismo que en el caso de la variable cantidad de guiones: -1, 0, >0.
qty_slash_directory: Podemos observar que a partir de una cantidad de guiones bajos de 1, la probabilidad de encontrarnos con una web de phishing es muy elevada, superior al 70%. Cuando esta es de 1, vemos que la proporciones son casi iguales, aunque también nos aportaría información relevante para nuestro modelo, ya que las webs de phishing son más frecuentes comparandolo con el conjunto de datos. Por último también tenemos el nivel que indica que no se aplica esta característica, el cual una vez más contiene casi el 100% de webs legítimas en sus proporciones: -1, 1, >1.
qty_questionmark_directory: Tenemos dos niveles con proporciones diferenciales en nuestra objetivo. La dejaremos como está.

Directory qty grupo 2

Análisis cuantitativo:

# qty_equal_directory
phishing_bruto |> group_by(qty_equal_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 10 × 4
# Groups:   qty_equal_directory [7]
   qty_equal_directory phishing     n   porc
   <fct>               <fct>    <int>  <dbl>
 1 -1                  0        46762  98.4 
 2 -1                  1          747   1.57
 3 0                   0        11237  27.7 
 4 0                   1        29358  72.3 
 5 1                   1          446 100   
 6 2                   1           73 100   
 7 3                   0            1   5.88
 8 3                   1           16  94.1 
 9 4                   1            5 100   
10 5                   1            2 100

# qty_at_directory
phishing_bruto |> group_by(qty_at_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 16 × 4
# Groups:   qty_at_directory [13]
   qty_at_directory phishing     n   porc
   <fct>            <fct>    <int>  <dbl>
 1 -1               0        46762  98.4 
 2 -1               1          747   1.57
 3 0                0        11236  27.4 
 4 0                1        29774  72.6 
 5 1                0            2   1.96
 6 1                1          100  98.0 
 7 2                1            7 100   
 8 3                1            6 100   
 9 4                1            4 100   
10 5                1            2 100   
11 6                1            1 100   
12 10               1            1 100   
13 11               1            1 100   
14 12               1            1 100   
15 15               1            1 100   
16 43               1            2 100

# qty_and_directory
phishing_bruto |> group_by(qty_and_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 18 × 4
# Groups:   qty_and_directory [14]
   qty_and_directory phishing     n    porc
   <fct>             <fct>    <int>   <dbl>
 1 -1                0        46762  98.4  
 2 -1                1          747   1.57 
 3 0                 0        11236  27.5  
 4 0                 1        29685  72.5  
 5 1                 0            1   0.529
 6 1                 1          188  99.5  
 7 2                 0            1  14.3  
 8 2                 1            6  85.7  
 9 3                 1            5 100    
10 4                 1            3 100    
11 5                 1            3 100    
12 7                 1            2 100    
13 11                1            1 100    
14 12                1            1 100    
15 13                1            1 100    
16 17                1            2 100    
17 19                1            1 100    
18 26                1            2 100

# qty_exclamation_directory
phishing_bruto |> group_by(qty_exclamation_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 11 × 4
# Groups:   qty_exclamation_directory [9]
   qty_exclamation_directory phishing     n   porc
   <fct>                     <fct>    <int>  <dbl>
 1 -1                        0        46762  98.4 
 2 -1                        1          747   1.57
 3 0                         0        11238  27.4 
 4 0                         1        29790  72.6 
 5 1                         1           96 100   
 6 2                         1            8 100   
 7 3                         1            1 100   
 8 4                         1            1 100   
 9 5                         1            2 100   
10 6                         1            1 100   
11 9                         1            1 100

Visualización:

# qty_equal_directory
ggplot(phishing_bruto, aes(x = qty_equal_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (=) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_at_directory
ggplot(phishing_bruto, aes(x = qty_at_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (@) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_and_directory
ggplot(phishing_bruto, aes(x = qty_and_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (&) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_exclamation_directory
ggplot(phishing_bruto, aes(x = qty_exclamation_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (!) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

qty_equal_directory: Vemos que cuando no se aplica la característica, una vez más, la proporción de webs legítimas casi cubre el 100% de los registros en función de la cantidad de “=” en el directorio. Por otro lado, cuando sí se aplica y la cantidad es 0, las proporciones se asemejan más a las globales (27% de phishing). Por último, en niveles superiores a 0, tenemos una cantidad muy pequeña de datos donde la proporción de phishing es prácticamente del 100%. Como en este caso, el número de datos apenas llega al 1% del total, no sería conveniente diferenciar un tercer nivel para aquellos superiores 0 en caso de recategorizar. Priorizamos la simplicidad, y en caso de aplicarle una transformación a esta variable, la dejaríamos como binaria de la siguiente forma: -1, >=0.
qty_at_directory: Sucede exactamente lo mismo que en la variable anterior: -1, >=0.
qty_and_directory: Nuevamente: -1, >=0.
qty_exclamation_directory: Misma lógica: -1, >=0.

Directory qty grupo 3

Análisis cuantitativo:

# qty_space_directory
phishing_bruto |> group_by(qty_space_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 11 × 4
# Groups:   qty_space_directory [9]
   qty_space_directory phishing     n   porc
   <fct>               <fct>    <int>  <dbl>
 1 -1                  0        46762  98.4 
 2 -1                  1          747   1.57
 3 0                   0        11238  27.3 
 4 0                   1        29876  72.7 
 5 1                   1           13 100   
 6 2                   1            2 100   
 7 3                   1            3 100   
 8 4                   1            1 100   
 9 6                   1            1 100   
10 7                   1            1 100   
11 9                   1            3 100

# qty_tilde_directory
phishing_bruto |> group_by(qty_tilde_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 12 × 4
# Groups:   qty_tilde_directory [7]
   qty_tilde_directory phishing     n   porc
   <fct>               <fct>    <int>  <dbl>
 1 -1                  0        46762  98.4 
 2 -1                  1          747   1.57
 3 0                   0        11224  27.4 
 4 0                   1        29702  72.6 
 5 1                   0           12   6.59
 6 1                   1          170  93.4 
 7 2                   1            5 100   
 8 3                   0            1   5.88
 9 3                   1           16  94.1 
10 4                   0            1  50   
11 4                   1            1  50   
12 5                   1            6 100

# qty_comma_directory
phishing_bruto |> group_by(qty_comma_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 9 × 4
# Groups:   qty_comma_directory [5]
  qty_comma_directory phishing     n   porc
  <fct>               <fct>    <int>  <dbl>
1 -1                  0        46762  98.4 
2 -1                  1          747   1.57
3 0                   0        11224  27.3 
4 0                   1        29879  72.7 
5 1                   0            4  18.2 
6 1                   1           18  81.8 
7 3                   0           10  83.3 
8 3                   1            2  16.7 
9 5                   1            1 100

# qty_plus_directory
phishing_bruto |> group_by(qty_plus_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 15 × 4
# Groups:   qty_plus_directory [10]
   qty_plus_directory phishing     n   porc
   <fct>              <fct>    <int>  <dbl>
 1 -1                 0        46762  98.4 
 2 -1                 1          747   1.57
 3 0                  0        11228  27.3 
 4 0                  1        29877  72.7 
 5 1                  0            4  22.2 
 6 1                  1           14  77.8 
 7 2                  0            1  25   
 8 2                  1            3  75   
 9 3                  1            4 100   
10 4                  0            1  50   
11 4                  1            1  50   
12 5                  1            1 100   
13 7                  0            1 100   
14 9                  0            2 100   
15 19                 0            1 100

Visualización:

# qty_space_directory
ggplot(phishing_bruto, aes(x = qty_space_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de ( ) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_tilde_directory
ggplot(phishing_bruto, aes(x = qty_tilde_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (~) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_comma_directory
ggplot(phishing_bruto, aes(x = qty_comma_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (,) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_plus_directory
ggplot(phishing_bruto, aes(x = qty_plus_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (+) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_space_directory: Volvemos a tener una distribución similar a las variables del anterior grupo: -1, >=0.
qty_tilde_directory: -1, >=0.
qty_comma_directory: Tenemos un nivel (3) donde cambia el patrón anterior y volvemos a tener un porcentaje mayor de webs legítimas (83%). Sin embargo, la cantidad de datos es nuevamente muy pequeña por lo que priorizamos la simplicidad y evitamos el sobreajuste en caso de una recategorización: -1, >=0.
qty_plus_directory: Aplicamos la misma lógica: -1, >=0.

Directory qty grupo 4

Análisis cuantitativo:

# qty_asterisk_directory
phishing_bruto |> group_by(qty_asterisk_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 18 × 4
# Groups:   qty_asterisk_directory [16]
   qty_asterisk_directory phishing     n   porc
   <fct>                  <fct>    <int>  <dbl>
 1 -1                     0        46762  98.4 
 2 -1                     1          747   1.57
 3 0                      0        11238  27.3 
 4 0                      1        29853  72.7 
 5 1                      1           16 100   
 6 2                      1           11 100   
 7 4                      1            4 100   
 8 5                      1            1 100   
 9 6                      1            1 100   
10 7                      1            1 100   
11 9                      1            1 100   
12 10                     1            1 100   
13 12                     1            1 100   
14 14                     1            3 100   
15 19                     1            1 100   
16 20                     1            3 100   
17 22                     1            2 100   
18 60                     1            1 100

# qty_hashtag_directory
phishing_bruto |> group_by(qty_hashtag_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   qty_hashtag_directory [2]
  qty_hashtag_directory phishing     n  porc
  <fct>                 <fct>    <int> <dbl>
1 -1                    0        46762 98.4 
2 -1                    1          747  1.57
3 0                     0        11238 27.3 
4 0                     1        29900 72.7

# qty_dollar_directory
phishing_bruto |> group_by(qty_dollar_directory) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 13 × 4
# Groups:   qty_dollar_directory [11]
   qty_dollar_directory phishing     n   porc
   <fct>                <fct>    <int>  <dbl>
 1 -1                   0        46762  98.4 
 2 -1                   1          747   1.57
 3 0                    0        11238  27.3 
 4 0                    1        29871  72.7 
 5 1                    1           10 100   
 6 2                    1            3 100   
 7 3                    1            2 100   
 8 4                    1            3 100   
 9 5                    1            3 100   
10 6                    1            2 100   
11 8                    1            2 100   
12 9                    1            1 100   
13 10                   1            3 100

# qty_percent_directory
phishing_bruto |> count(qty_percent_directory, sort = TRUE) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_percent_directory     n         porc     cumul
1                     -1 47509 53.593466220  53.59347
2                      0 40280 45.438649926  99.03212
3                      1   478  0.539217345  99.57133
4                      2   107  0.120703464  99.69204
5                      3    58  0.065428046  99.75747
6                      5    40  0.045122790  99.80259
7                      6    24  0.027073674  99.82966
8                      4    22  0.024817535  99.85448
9                      8    15  0.016921046  99.87140
10                    16    14  0.015792977  99.88719
11                     9    12  0.013536837  99.90073
12                    28    10  0.011280698  99.91201
13                     7     5  0.005640349  99.91765
14                    10     5  0.005640349  99.92329
15                    12     5  0.005640349  99.92893
16                    18     5  0.005640349  99.93457
17                    20     5  0.005640349  99.94021
18                    22     5  0.005640349  99.94585
19                    24     5  0.005640349  99.95149
20                    32     5  0.005640349  99.95713
21                    34     5  0.005640349  99.96277
22                    15     4  0.004512279  99.96729
23                    38     3  0.003384209  99.97067
24                    14     2  0.002256140  99.97293
25                    36     2  0.002256140  99.97518
26                    44     2  0.002256140  99.97744
27                    62     2  0.002256140  99.97969
28                    66     2  0.002256140  99.98195
29                    78     2  0.002256140  99.98421
30                    13     1  0.001128070  99.98534
31                    23     1  0.001128070  99.98646
32                    27     1  0.001128070  99.98759
33                    29     1  0.001128070  99.98872
34                    40     1  0.001128070  99.98985
35                    42     1  0.001128070  99.99098
36                    46     1  0.001128070  99.99210
37                    48     1  0.001128070  99.99323
38                    51     1  0.001128070  99.99436
39                    54     1  0.001128070  99.99549
40                   117     1  0.001128070  99.99662
41                   127     1  0.001128070  99.99774
42                   162     1  0.001128070  99.99887
43                   174     1  0.001128070 100.00000

Visualización:

# qty_asterisk_directory
ggplot(phishing_bruto, aes(x = qty_asterisk_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (*) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_hashtag_directory
ggplot(phishing_bruto, aes(x = qty_hashtag_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (#) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_dollar_directory
ggplot(phishing_bruto, aes(x = qty_dollar_directory)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de ($) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
      geom_text(aes(label = ..count..), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_percent_directory
ggplot(phishing_bruto, aes(x = qty_percent_directory)) + 
  geom_density(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (%) en directorio", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_asterisk_directory: En caso de una recategorización, volveríamos a formar dos niveles, donde recategorizaríamos aquellos con muy pocas observaciones donde también predominan las webs de phishing en aquel nivel donde más similitud existe con la objetivo (0): -1, >=0. qty_hashtag_directory: Tenemos dos niveles diferenciales en cuanto a la variable objetivo. La dejaríamos como está. * qty_dollar_directory: Aplicaríamos la misma lógica que en la variable qty_asterisk_directory: -1, >=0. * qty_percent_directory: Vemos que 2 valores ya ocupan más del 99% de los datos, (-1, 0):

phishing_bruto |> filter(qty_percent_directory == -1) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing     n      porc
1        0 46762 98.427666
2        1   747  1.572334

phishing_bruto |> filter(qty_percent_directory == 0) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing     n     porc
1        0 11097 27.54965
2        1 29183 72.45035

phishing_bruto |> filter(qty_percent_directory > 0) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing   n     porc
1        0 141 16.43357
2        1 717 83.56643

Si nos fijamos en las proporciones, cuando no se aplica la característica, casi la totalidad de webs son legítimas nuevamente. Por otro lado, cuando la cantidad es 0 y se aplica la característica, vemos un porcentaje de phishing considerablemente superior a las proporciones globales. Por último, en valores superiores y donde apenas tenemos el 1% de los datos, las proporciones son similares a cuando dicha cantidad es 0, por lo que si decidimos recategorizar, lo más conveniente sería recategorizar aquellos niveles con muy pocos datos con el 0: -1, >=0.

Variable directory_length

phishing_bruto |> count(directory_length, sort = TRUE) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

    directory_length     n         porc     cumul
1                 -1 47509 53.593466220  53.59347
2                  1  8767  9.889787584  63.48325
3                  7   990  1.116789062  64.60004
4                 18   958  1.080690830  65.68073
5                  6   941  1.061513644  66.74225
6                  8   912  1.028799621  67.77105
7                 10   893  1.007366296  68.77841
8                 19   862  0.972396133  69.75081
9                 11   793  0.894559320  70.64537
10                14   789  0.890047041  71.53542
11                17   778  0.877638273  72.41305
12                15   767  0.865229506  73.27828
13                24   761  0.858461087  74.13674
14                20   733  0.826875134  74.96362
15                 9   728  0.821234785  75.78485
16                23   726  0.818978646  76.60383
17                16   702  0.791904971  77.39574
18                13   695  0.784008483  78.17975
19                12   674  0.760319018  78.94007
20                22   664  0.749038321  79.68910
21                26   659  0.743397972  80.43250
22                21   634  0.715196228  81.14770
23                 5   608  0.685866414  81.83356
24                30   606  0.683610274  82.51717
25                27   603  0.680226065  83.19740
26                28   585  0.659920810  83.85732
27                25   573  0.646383972  84.50371
28                34   567  0.639615554  85.14332
29                 4   563  0.635103275  85.77842
30                29   548  0.618182228  86.39661
31                33   534  0.602389252  86.99900
32                31   533  0.601261182  87.60026
33                32   509  0.574187508  88.17444
34                41   431  0.486198066  88.66064
35                39   413  0.465892811  89.12654
36                38   395  0.445587555  89.57212
37                46   393  0.443331416  90.01545
38                40   384  0.433178788  90.44863
39                37   361  0.407233183  90.85587
40                36   334  0.376775300  91.23264
41                35   330  0.372263021  91.60490
42                45   314  0.354213905  91.95912
43                51   292  0.329396370  92.28852
44                44   285  0.321499882  92.61002
45                42   275  0.310219184  92.92023
46                 3   268  0.302322696  93.22256
47                43   266  0.300066556  93.52262
48                48   266  0.300066556  93.82269
49                47   241  0.271864812  94.09455
50                55   240  0.270736742  94.36529
51                53   237  0.267352533  94.63264
52                57   236  0.266224463  94.89887
53                58   213  0.240278859  95.13915
54                50   210  0.236894650  95.37604
55                54   200  0.225613952  95.60166
56                52   193  0.217717464  95.81937
57                49   185  0.208692906  96.02807
58                56   174  0.196284138  96.22435
59                59   146  0.164698185  96.38905
60                61   138  0.155673627  96.54472
61                67   136  0.153417487  96.69814
62                60   131  0.147777139  96.84592
63                73   122  0.137624511  96.98354
64                63   106  0.119575395  97.10312
65                62   101  0.113935046  97.21705
66                64   101  0.113935046  97.33099
67                76    98  0.110550836  97.44154
68                65    92  0.103782418  97.54532
69                66    91  0.102654348  97.64797
70                70    84  0.094757860  97.74273
71                81    83  0.093629790  97.83636
72                68    82  0.092501720  97.92886
73                75    82  0.092501720  98.02137
74                69    81  0.091373651  98.11274
75                74    66  0.074452604  98.18719
76                71    62  0.069940325  98.25713
77                80    58  0.065428046  98.32256
78                78    55  0.062043837  98.38460
79                72    53  0.059787697  98.44439
80                89    53  0.059787697  98.50418
81                77    52  0.058659628  98.56284
82                79    48  0.054147348  98.61699
83                82    44  0.049635069  98.66662
84                83    39  0.043994721  98.71062
85               100    37  0.041738581  98.75235
86                91    36  0.040610511  98.79297
87                 2    35  0.039482442  98.83245
88                85    35  0.039482442  98.87193
89                86    33  0.037226302  98.90916
90                93    33  0.037226302  98.94638
91                84    32  0.036098232  98.98248
92                90    32  0.036098232  99.01858
93                87    29  0.032714023  99.05129
94                88    28  0.031585953  99.08288
95               108    27  0.030457884  99.11334
96                92    26  0.029329814  99.14267
97               103    26  0.029329814  99.17200
98               169    26  0.029329814  99.20133
99                97    25  0.028201744  99.22953
100               98    24  0.027073674  99.25660
101              110    24  0.027073674  99.28368
102              101    21  0.023689465  99.30737
103              104    21  0.023689465  99.33105
104               94    20  0.022561395  99.35362
105               96    20  0.022561395  99.37618
106               99    20  0.022561395  99.39874
107              111    19  0.021433325  99.42017
108              140    18  0.020305256  99.44048
109              113    17  0.019177186  99.45965
110               95    15  0.016921046  99.47658
111              145    15  0.016921046  99.49350
112              102    14  0.015792977  99.50929
113              109    14  0.015792977  99.52508
114              114    14  0.015792977  99.54088
115              122    14  0.015792977  99.55667
116              159    14  0.015792977  99.57246
117              105    13  0.014664907  99.58713
118              125    13  0.014664907  99.60179
119              118    11  0.012408767  99.61420
120              106    10  0.011280698  99.62548
121              112    10  0.011280698  99.63676
122              129    10  0.011280698  99.64804
123              144    10  0.011280698  99.65932
124              107     9  0.010152628  99.66948
125              115     9  0.010152628  99.67963
126              116     9  0.010152628  99.68978
127              123     9  0.010152628  99.69993
128              128     9  0.010152628  99.71009
129              149     9  0.010152628  99.72024
130              117     8  0.009024558  99.72926
131              120     8  0.009024558  99.73829
132              151     8  0.009024558  99.74731
133              197     8  0.009024558  99.75634
134              119     7  0.007896488  99.76423
135              124     7  0.007896488  99.77213
136              133     7  0.007896488  99.78003
137              135     7  0.007896488  99.78792
138              121     6  0.006768419  99.79469
139              150     6  0.006768419  99.80146
140              126     5  0.005640349  99.80710
141              127     5  0.005640349  99.81274
142              137     5  0.005640349  99.81838
143              143     5  0.005640349  99.82402
144              181     5  0.005640349  99.82966
145              130     4  0.004512279  99.83417
146              131     4  0.004512279  99.83869
147              132     4  0.004512279  99.84320
148              138     4  0.004512279  99.84771
149              139     4  0.004512279  99.85222
150              153     4  0.004512279  99.85674
151              158     4  0.004512279  99.86125
152              166     4  0.004512279  99.86576
153              172     4  0.004512279  99.87027
154              136     3  0.003384209  99.87366
155              154     3  0.003384209  99.87704
156              155     3  0.003384209  99.88042
157              156     3  0.003384209  99.88381
158              173     3  0.003384209  99.88719
159              212     3  0.003384209  99.89058
160              217     3  0.003384209  99.89396
161              270     3  0.003384209  99.89735
162              148     2  0.002256140  99.89960
163              152     2  0.002256140  99.90186
164              161     2  0.002256140  99.90411
165              184     2  0.002256140  99.90637
166              185     2  0.002256140  99.90863
167              187     2  0.002256140  99.91088
168              188     2  0.002256140  99.91314
169              194     2  0.002256140  99.91539
170              195     2  0.002256140  99.91765
171              211     2  0.002256140  99.91991
172              242     2  0.002256140  99.92216
173              391     2  0.002256140  99.92442
174              418     2  0.002256140  99.92668
175              141     1  0.001128070  99.92780
176              147     1  0.001128070  99.92893
177              157     1  0.001128070  99.93006
178              162     1  0.001128070  99.93119
179              163     1  0.001128070  99.93232
180              168     1  0.001128070  99.93344
181              170     1  0.001128070  99.93457
182              175     1  0.001128070  99.93570
183              177     1  0.001128070  99.93683
184              179     1  0.001128070  99.93796
185              183     1  0.001128070  99.93908
186              193     1  0.001128070  99.94021
187              198     1  0.001128070  99.94134
188              204     1  0.001128070  99.94247
189              205     1  0.001128070  99.94360
190              213     1  0.001128070  99.94472
191              215     1  0.001128070  99.94585
192              216     1  0.001128070  99.94698
193              218     1  0.001128070  99.94811
194              219     1  0.001128070  99.94924
195              229     1  0.001128070  99.95036
196              235     1  0.001128070  99.95149
197              236     1  0.001128070  99.95262
198              248     1  0.001128070  99.95375
199              249     1  0.001128070  99.95488
200              251     1  0.001128070  99.95601
201              266     1  0.001128070  99.95713
202              271     1  0.001128070  99.95826
203              276     1  0.001128070  99.95939
204              277     1  0.001128070  99.96052
205              278     1  0.001128070  99.96165
206              301     1  0.001128070  99.96277
207              305     1  0.001128070  99.96390
208              309     1  0.001128070  99.96503
209              316     1  0.001128070  99.96616
210              319     1  0.001128070  99.96729
211              333     1  0.001128070  99.96841
212              346     1  0.001128070  99.96954
213              356     1  0.001128070  99.97067
214              357     1  0.001128070  99.97180
215              375     1  0.001128070  99.97293
216              393     1  0.001128070  99.97405
217              415     1  0.001128070  99.97518
218              450     1  0.001128070  99.97631
219              459     1  0.001128070  99.97744
220              474     1  0.001128070  99.97857
221              478     1  0.001128070  99.97969
222              513     1  0.001128070  99.98082
223              516     1  0.001128070  99.98195
224              520     1  0.001128070  99.98308
225              530     1  0.001128070  99.98421
226              539     1  0.001128070  99.98534
227              543     1  0.001128070  99.98646
228              573     1  0.001128070  99.98759
229              585     1  0.001128070  99.98872
230              592     1  0.001128070  99.98985
231              621     1  0.001128070  99.99098
232              680     1  0.001128070  99.99210
233              700     1  0.001128070  99.99323
234              786     1  0.001128070  99.99436
235              843     1  0.001128070  99.99549
236              915     1  0.001128070  99.99662
237             1083     1  0.001128070  99.99774
238             1271     1  0.001128070  99.99887
239             1286     1  0.001128070 100.00000

phishing_bruto |> group_by(directory_length) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 373 × 4
# Groups:   directory_length [239]
   directory_length phishing     n  porc
              <int> <fct>    <int> <dbl>
 1               -1 0        46762 98.4 
 2               -1 1          747  1.57
 3                1 0         5648 64.4 
 4                1 1         3119 35.6 
 5                2 0            3  8.57
 6                2 1           32 91.4 
 7                3 0           81 30.2 
 8                3 1          187 69.8 
 9                4 0          173 30.7 
10                4 1          390 69.3 
# … with 363 more rows

Podemos ver que de los 239 valores únicos que presenta la variable, únicamente dos de ellos ya concentran más del 63% de los datos.

ggplot(phishing_bruto, aes(x = directory_length)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por longitud de directorio", 
       x = "Longitud de directorio", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Visualizando la variable en un gráfico de densidad, vemos que a partir del 150, prácticamente no se diferencia ninguna observación: se trata de una variable con una alta concentración a la izquierda (cola pesada a la derecha)

phishing_bruto |> filter(directory_length > 1) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing     n     porc
1        0  5590 17.26854
2        1 26781 82.73146

Por otro lado, cuando es mayor que 1, vemos que la probabilidad que la web sea de phishing, es superior al 80%. Teniendo en cuenta que cuando es 1, esta proporción es del 35% y cuando no se aplica la característica (-1) es de apenas un 2%. Podríamos convertir esta variable a factor con 3 niveles: -1, 1, >1.

Variables de file

qty_dot_file count (.) in file qty_hyphen_file count (-) in file qty_underline_file count (_) in file qty_slash_file count (/) in file qty_questionmark_file count (?) in file qty_equal_file count (=) in file qty_at_file count (@) in file qty_and_file count (&) in file qty_exclamation_file count (!) in file qty_space_file count ( ) in file qty_percent_file count (%) in file file_length file length qty_tilde_file count (~) in file qty_comma_file count (,) in file qty_plus_file count (+) in file qty_asterisk_file count (*) in file qty_hashtag_file count (#) in file qty_dollar_file count ($) in file

Comprobamos el número de valores únicos en estas variables:

phishing_bruto |> select(contains("file")) |> 
  summarise_all(list(~n_distinct(.)))

  qty_dot_file qty_hyphen_file qty_underline_file qty_slash_file
1           10              22                 18              2
  qty_questionmark_file qty_equal_file qty_at_file qty_and_file
1                     2              5           4            5
  qty_exclamation_file qty_space_file qty_tilde_file qty_comma_file
1                    5              9              6              6
  qty_plus_file qty_asterisk_file qty_hashtag_file qty_dollar_file
1            10                 7                2               2
  qty_percent_file file_length
1               37         168

Convertimos a factor:

phishing_bruto <- 
  phishing_bruto |> mutate(qty_dot_file = as_factor(qty_dot_file),
                           qty_hyphen_file = as_factor(qty_hyphen_file),
                           qty_underline_file = as_factor(qty_underline_file),
                           qty_slash_file = as_factor(qty_slash_file),
                           qty_questionmark_file = as_factor(qty_questionmark_file),
                           qty_equal_file = as_factor(qty_equal_file),
                           qty_at_file = as_factor(qty_at_file),
                           qty_and_file = as_factor(qty_and_file),
                           qty_exclamation_file = as_factor(qty_exclamation_file),
                           qty_space_file = as_factor(qty_space_file),
                           qty_tilde_file = as_factor(qty_tilde_file),
                           qty_comma_file = as_factor(qty_comma_file),
                           qty_plus_file = as_factor(qty_plus_file),
                           qty_asterisk_file = as_factor(qty_asterisk_file),
                           qty_hashtag_file = as_factor(qty_hashtag_file),
                           qty_dollar_file = as_factor(qty_dollar_file))

En este caso no convertimos las variables qty_percent_file ni file_length.

File qty grupo 1

Análisis cualitativo:

# qty_at_file
phishing_bruto |> group_by(qty_at_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 6 × 4
# Groups:   qty_at_file [4]
  qty_at_file phishing     n   porc
  <fct>       <fct>    <int>  <dbl>
1 -1          0        46762  98.4 
2 -1          1          747   1.57
3 0           0        11238  27.3 
4 0           1        29875  72.7 
5 1           1           24 100   
6 2           1            1 100

# qty_and_file
phishing_bruto |> group_by(qty_and_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 9 × 4
# Groups:   qty_and_file [5]
  qty_and_file phishing     n    porc
  <fct>        <fct>    <int>   <dbl>
1 -1           0        46762  98.4  
2 -1           1          747   1.57 
3 0            0        11236  27.4  
4 0            1        29780  72.6  
5 1            0            1   0.840
6 1            1          118  99.2  
7 2            0            1  50    
8 2            1            1  50    
9 3            1            1 100

# qty_exclamation_file
phishing_bruto |> group_by(qty_exclamation_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 7 × 4
# Groups:   qty_exclamation_file [5]
  qty_exclamation_file phishing     n   porc
  <fct>                <fct>    <int>  <dbl>
1 -1                   0        46762  98.4 
2 -1                   1          747   1.57
3 0                    0        11238  27.4 
4 0                    1        29812  72.6 
5 1                    1           86 100   
6 2                    1            1 100   
7 4                    1            1 100

# qty_space_file
phishing_bruto |> group_by(qty_space_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 11 × 4
# Groups:   qty_space_file [9]
   qty_space_file phishing     n   porc
   <fct>          <fct>    <int>  <dbl>
 1 -1             0        46762  98.4 
 2 -1             1          747   1.57
 3 0              0        11238  27.3 
 4 0              1        29887  72.7 
 5 1              1            7 100   
 6 2              1            1 100   
 7 3              1            1 100   
 8 4              1            1 100   
 9 6              1            1 100   
10 7              1            1 100   
11 9              1            1 100

# qty_tilde_file
phishing_bruto |> group_by(qty_tilde_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 9 × 4
# Groups:   qty_tilde_file [6]
  qty_tilde_file phishing     n   porc
  <fct>          <fct>    <int>  <dbl>
1 -1             0        46762  98.4 
2 -1             1          747   1.57
3 0              0        11235  27.3 
4 0              1        29888  72.7 
5 1              0            1  14.3 
6 1              1            6  85.7 
7 2              1            6 100   
8 3              0            1 100   
9 4              0            1 100

# qty_comma_file
phishing_bruto |> group_by(qty_comma_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 10 × 4
# Groups:   qty_comma_file [6]
   qty_comma_file phishing     n   porc
   <fct>          <fct>    <int>  <dbl>
 1 -1             0        46762  98.4 
 2 -1             1          747   1.57
 3 0              0        11224  27.3 
 4 0              1        29891  72.7 
 5 1              0            4  40   
 6 1              1            6  60   
 7 2              1            1 100   
 8 3              0           10  90.9 
 9 3              1            1   9.09
10 5              1            1 100

Visualización:

# qty_at_file
ggplot(phishing_bruto, aes(x = qty_at_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (@) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_and_file
ggplot(phishing_bruto, aes(x = qty_and_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (&) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_exclamation_file
ggplot(phishing_bruto, aes(x = qty_exclamation_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (!) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_space_file
ggplot(phishing_bruto, aes(x = qty_space_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de ( ) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_tilde_file
ggplot(phishing_bruto, aes(x = qty_tilde_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (~) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_comma_file
ggplot(phishing_bruto, aes(x = qty_comma_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (,) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_at_file: Tenemos dos niveles que recogen practicamente el 100% de los registros. Cuando no se aplica la característica (-1), casi el 100% de las webs son legítimas, mientras que cuando es 0, el phishing está presente en más del 70% de los registros. En los otros niveles apenas tenemos datos y se trata de 25 observaciones donde todas resultan ser webs de phishing. De esta manera, podríamos recategorizar estos dos últimos niveles con el 0: -1, >=0.
qty_and_file: Sucede lo mismo que en la anterior variable: -1, >=0.
qty_exclamation_file: Nuevamente: -1, >=0.
qty_space_file: Una vez más vemos los mismos patrones: -1, >=0.
qty_tilde_file: -1, >=0.
qty_comma_file: -1, >=0.

File qty grupo 2

Análisis cuantitativo:

# qty_dot_file
phishing_bruto |> group_by(qty_dot_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 15 × 4
# Groups:   qty_dot_file [10]
   qty_dot_file phishing     n   porc
   <fct>        <fct>    <int>  <dbl>
 1 -1           0        46762  98.4 
 2 -1           1          747   1.57
 3 0            0         9594  35.6 
 4 0            1        17354  64.4 
 5 1            0         1613  11.7 
 6 1            1        12126  88.3 
 7 2            0           28   9.06
 8 2            1          281  90.9 
 9 3            0            3   2.48
10 3            1          118  97.5 
11 4            1           15 100   
12 5            1            3 100   
13 7            1            1 100   
14 10           1            1 100   
15 12           1            1 100

# qty_hyphen_file
phishing_bruto |> count(qty_hyphen_file) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_hyphen_file     n         porc     cumul
1               -1 47509 53.593466220  53.59347
2                0 39384 44.427899421  98.02137
3                1   860  0.970139993  98.99151
4                2   241  0.271864812  99.26337
5                3   147  0.165826255  99.42920
6                4   129  0.145520999  99.57472
7                5   111  0.125215743  99.69993
8                6    73  0.082349092  99.78228
9                7    42  0.047378930  99.82966
10               8    52  0.058659628  99.88832
11               9    28  0.031585953  99.91991
12              10    17  0.019177186  99.93908
13              11    23  0.025945604  99.96503
14              12     7  0.007896488  99.97293
15              13    11  0.012408767  99.98534
16              14     2  0.002256140  99.98759
17              15     3  0.003384209  99.99098
18              16     1  0.001128070  99.99210
19              17     2  0.002256140  99.99436
20              18     1  0.001128070  99.99549
21              20     1  0.001128070  99.99662
22              21     3  0.003384209 100.00000

phishing_bruto |> group_by(qty_hyphen_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 37 × 4
# Groups:   qty_hyphen_file [22]
   qty_hyphen_file phishing     n  porc
   <fct>           <fct>    <int> <dbl>
 1 -1              0        46762 98.4 
 2 -1              1          747  1.57
 3 0               0        10663 27.1 
 4 0               1        28721 72.9 
 5 1               0          175 20.3 
 6 1               1          685 79.7 
 7 2               0           82 34.0 
 8 2               1          159 66.0 
 9 3               0           60 40.8 
10 3               1           87 59.2 
# … with 27 more rows

# qty_underline_file
phishing_bruto |> group_by(qty_underline_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 31 × 4
# Groups:   qty_underline_file [18]
   qty_underline_file phishing     n  porc
   <fct>              <fct>    <int> <dbl>
 1 -1                 0        46762 98.4 
 2 -1                 1          747  1.57
 3 0                  0        10796 27.1 
 4 0                  1        29112 72.9 
 5 1                  0          227 29.9 
 6 1                  1          531 70.1 
 7 2                  0           98 32.9 
 8 2                  1          200 67.1 
 9 3                  0           62 77.5 
10 3                  1           18 22.5 
# … with 21 more rows

# qty_slash_file
phishing_bruto |> group_by(qty_slash_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   qty_slash_file [2]
  qty_slash_file phishing     n  porc
  <fct>          <fct>    <int> <dbl>
1 -1             0        46762 98.4 
2 -1             1          747  1.57
3 0              0        11238 27.3 
4 0              1        29900 72.7

# qty_questionmark_file
phishing_bruto |> group_by(qty_questionmark_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   qty_questionmark_file [2]
  qty_questionmark_file phishing     n  porc
  <fct>                 <fct>    <int> <dbl>
1 -1                    0        46762 98.4 
2 -1                    1          747  1.57
3 0                     0        11238 27.3 
4 0                     1        29900 72.7

# qty_equal_file
phishing_bruto |> group_by(qty_equal_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 8 × 4
# Groups:   qty_equal_file [5]
  qty_equal_file phishing     n   porc
  <fct>          <fct>    <int>  <dbl>
1 -1             0        46762  98.4 
2 -1             1          747   1.57
3 0              0        11237  27.4 
4 0              1        29789  72.6 
5 1              1           82 100   
6 2              1           26 100   
7 3              0            1  25   
8 3              1            3  75

Visualización:

# qty_dot_file
ggplot(phishing_bruto, aes(x = qty_dot_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (.) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_hyphen_file
ggplot(phishing_bruto, aes(x = qty_hyphen_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (-) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_underline_file
ggplot(phishing_bruto, aes(x = qty_exclamation_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (_) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_slash_file
ggplot(phishing_bruto, aes(x = qty_slash_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (/) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_questionmark_file
ggplot(phishing_bruto, aes(x = qty_questionmark_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (?) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_equal_file
ggplot(phishing_bruto, aes(x = qty_equal_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (=) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

qty_dot_file: Podríamos recategorizar los niveles con apenas observaciones y donde las webs siempre resultan ser de phishing con el nivel 1, donde la proporción de este tipo de webs está cercana al 90%. Por otro lado el 0 convendría diferenciarlo también dadas sus proporciones considerablemente diferentes: -1, 0, >0.
qty_hyphen_file: vemos que dos niveles (-1 y 0) ya ocupan el 98% de los datos. De este modo, y viendo que en aquellos niveles menos frecuentes el phishing aparece más que en el nivel que indica que no se aplica, podríamos volver a crear dos niveles donde se reagrupen estos últimos con el 0: -1, >=0.
qty_underline_file: Nuevamente: -1, >=0.
qty_slash_file: Ya tenemos dos niveles distintivos en base sus proporciones de los dos tipos de webs: la dejamos como está.
qty_questionmark_file: la dejamos como está.
qty_equal_file: Misma lógica que antes: -1, >0.

File qty grupo 3

Análisis cuantitativo:

# qty_plus_file
phishing_bruto |> group_by(qty_plus_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 14 × 4
# Groups:   qty_plus_file [10]
   qty_plus_file phishing     n   porc
   <fct>         <fct>    <int>  <dbl>
 1 -1            0        46762  98.4 
 2 -1            1          747   1.57
 3 0             0        11231  27.3 
 4 0             1        29885  72.7 
 5 1             0            2  16.7 
 6 1             1           10  83.3 
 7 2             0            1  50   
 8 2             1            1  50   
 9 3             1            3 100   
10 4             1            1 100   
11 5             0            1 100   
12 6             0            1 100   
13 9             0            1 100   
14 19            0            1 100

# qty_asterisk_file
phishing_bruto |> group_by(qty_asterisk_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 9 × 4
# Groups:   qty_asterisk_file [7]
  qty_asterisk_file phishing     n   porc
  <fct>             <fct>    <int>  <dbl>
1 -1                0        46762  98.4 
2 -1                1          747   1.57
3 0                 0        11238  27.3 
4 0                 1        29888  72.7 
5 1                 1            8 100   
6 2                 1            1 100   
7 14                1            1 100   
8 20                1            1 100   
9 60                1            1 100

# qty_hashtag_file
phishing_bruto |> group_by(qty_hashtag_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   qty_hashtag_file [2]
  qty_hashtag_file phishing     n  porc
  <fct>            <fct>    <int> <dbl>
1 -1               0        46762 98.4 
2 -1               1          747  1.57
3 0                0        11238 27.3 
4 0                1        29900 72.7

# qty_dollar_file
phishing_bruto |> group_by(qty_dollar_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   qty_dollar_file [2]
  qty_dollar_file phishing     n  porc
  <fct>           <fct>    <int> <dbl>
1 -1              0        46762 98.4 
2 -1              1          747  1.57
3 0               0        11238 27.3 
4 0               1        29900 72.7

# qty_percent_file
phishing_bruto |> count(qty_percent_file) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_percent_file     n         porc     cumul
1                -1 47509 53.593466220  53.59347
2                 0 40800 46.025246201  99.61871
3                 1   108  0.121831534  99.74054
4                 2    59  0.066556116  99.80710
5                 3    25  0.028201744  99.83530
6                 4    10  0.011280698  99.84658
7                 5    32  0.036098232  99.88268
8                 6    13  0.014664907  99.89735
9                 7     1  0.001128070  99.89847
10                8    11  0.012408767  99.91088
11               10     2  0.002256140  99.91314
12               12     4  0.004512279  99.91765
13               13     1  0.001128070  99.91878
14               14     2  0.002256140  99.92104
15               15     1  0.001128070  99.92216
16               16    12  0.013536837  99.93570
17               18     5  0.005640349  99.94134
18               20     4  0.004512279  99.94585
19               22     5  0.005640349  99.95149
20               24     3  0.003384209  99.95488
21               28    10  0.011280698  99.96616
22               32     5  0.005640349  99.97180
23               34     5  0.005640349  99.97744
24               36     2  0.002256140  99.97969
25               38     3  0.003384209  99.98308
26               40     1  0.001128070  99.98421
27               42     1  0.001128070  99.98534
28               44     2  0.002256140  99.98759
29               48     1  0.001128070  99.98872
30               51     1  0.001128070  99.98985
31               54     1  0.001128070  99.99098
32               62     2  0.002256140  99.99323
33               66     2  0.002256140  99.99549
34              117     1  0.001128070  99.99662
35              127     1  0.001128070  99.99774
36              162     1  0.001128070  99.99887
37              174     1  0.001128070 100.00000

phishing_bruto |> group_by(qty_percent_file) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 46 × 4
# Groups:   qty_percent_file [37]
   qty_percent_file phishing     n  porc
              <int> <fct>    <int> <dbl>
 1               -1 0        46762 98.4 
 2               -1 1          747  1.57
 3                0 0        11118 27.2 
 4                0 1        29682 72.8 
 5                1 0           13 12.0 
 6                1 1           95 88.0 
 7                2 0           10 16.9 
 8                2 1           49 83.1 
 9                3 0            4 16   
10                3 1           21 84   
# … with 36 more rows

Visualización:

# qty_plus_file
ggplot(phishing_bruto, aes(x = qty_plus_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (+) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_asterisk_file
ggplot(phishing_bruto, aes(x = qty_asterisk_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (*) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_hashtag_file
ggplot(phishing_bruto, aes(x = qty_hashtag_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (#) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_dollar_file
ggplot(phishing_bruto, aes(x = qty_dollar_file)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de ($) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_percent_file
ggplot(phishing_bruto, aes(x = qty_percent_file)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (%) en archivo", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_plus_file: Sigue los patrones de muchas de las anteriores variables en cuanto a distribución y proporciones de tipos de web: -1, >=0.
qty_asterisk_file: -1, >=0.
qty_hashtag_file: la dejamos como está.
qty_dollar_file: la dejamos como está.
qty_percent_file: Vemos tanto a partir del histograma como de las proporciones acumuladas del total, que únicamente dos valores de esta variable ya cubren más del 99% de los registros totales.

phishing_bruto |> filter(qty_percent_file > 0) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing   n     porc
1        0 120 35.50296
2        1 218 64.49704

Y cuando observamos las proporciones de los tipo de web en los demás valores, el phishing es más frecuente que las webs legítimas. por lo tanto, podríamos generar una variable binaria donde estos valores se reagrupen con el 0, donde las proporciones de phishing son mucho más similares: -1, >=0.

Variable file length

Para finalizar la exploración de las variables de tipo archivo tenemos la longitud del nombre del archivo.

phishing_bruto |> summarise(mean = mean(file_length),
                            median = median(file_length),
                            min = min(file_length),
                            max = max(file_length))

      mean median min  max
1 2.743793     -1  -1 1232

Observando los estadísticos descriptivos ya podemos ver que se trata de una variable con valores atípicos muy elevados.

phishing_bruto |> count(file_length) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

    file_length     n         porc     cumul
1            -1 47509 53.593466220  53.59347
2             0 19624 22.137240967  75.73071
3             1   148  0.166954324  75.89766
4             2   570  0.642999763  76.54066
5             3   453  0.511015601  77.05168
6             4   845  0.953218947  78.00490
7             5  1006  1.134838178  79.13973
8             6  1324  1.493564362  80.63330
9             7  1054  1.188985527  81.82228
10            8  1213  1.368348619  83.19063
11            9  4797  5.411350638  88.60198
12           10  2125  2.397148240  90.99913
13           11  1083  1.221699550  92.22083
14           12   916  1.033311900  93.25414
15           13   706  0.796417250  94.05056
16           14   589  0.664433089  94.71499
17           15   555  0.626078717  95.34107
18           16   504  0.568547159  95.90962
19           17   390  0.439947206  96.34957
20           18   271  0.305706905  96.65527
21           19   173  0.195156068  96.85043
22           20   149  0.168082394  97.01851
23           21   322  0.363238463  97.38175
24           22   135  0.152289418  97.53404
25           23   132  0.148905208  97.68294
26           24   106  0.119575395  97.80252
27           25    69  0.077836813  97.88036
28           26    67  0.075580674  97.95594
29           27    64  0.072196465  98.02813
30           28    88  0.099270139  98.12740
31           29   125  0.141008720  98.26841
32           30    57  0.064299976  98.33271
33           31    48  0.054147348  98.38686
34           32   431  0.486198066  98.87306
35           33    29  0.032714023  98.90577
36           34    31  0.034970163  98.94074
37           35    31  0.034970163  98.97571
38           36    42  0.047378930  99.02309
39           37    20  0.022561395  99.04565
40           38    29  0.032714023  99.07837
41           39    24  0.027073674  99.10544
42           40    31  0.034970163  99.14041
43           41    35  0.039482442  99.17989
44           42    50  0.056403488  99.23630
45           43    71  0.080092953  99.31639
46           44    18  0.020305256  99.33669
47           45    19  0.021433325  99.35813
48           46    55  0.062043837  99.42017
49           47    16  0.018049116  99.43822
50           48    35  0.039482442  99.47770
51           49    11  0.012408767  99.49011
52           50    15  0.016921046  99.50703
53           51    14  0.015792977  99.52283
54           52    15  0.016921046  99.53975
55           53    10  0.011280698  99.55103
56           54    10  0.011280698  99.56231
57           55    17  0.019177186  99.58149
58           56     8  0.009024558  99.59051
59           57     7  0.007896488  99.59841
60           58    15  0.016921046  99.61533
61           59     9  0.010152628  99.62548
62           60    10  0.011280698  99.63676
63           61    12  0.013536837  99.65030
64           62     8  0.009024558  99.65932
65           63     7  0.007896488  99.66722
66           64     5  0.005640349  99.67286
67           65     5  0.005640349  99.67850
68           66     6  0.006768419  99.68527
69           67    10  0.011280698  99.69655
70           68     7  0.007896488  99.70445
71           69     4  0.004512279  99.70896
72           70     8  0.009024558  99.71798
73           71     5  0.005640349  99.72362
74           72     6  0.006768419  99.73039
75           73     7  0.007896488  99.73829
76           74    15  0.016921046  99.75521
77           75     7  0.007896488  99.76311
78           76    13  0.014664907  99.77777
79           77     6  0.006768419  99.78454
80           78     9  0.010152628  99.79469
81           79     3  0.003384209  99.79808
82           80     2  0.002256140  99.80033
83           81     2  0.002256140  99.80259
84           82     2  0.002256140  99.80484
85           83     3  0.003384209  99.80823
86           84     2  0.002256140  99.81048
87           85    10  0.011280698  99.82176
88           86     5  0.005640349  99.82741
89           87     3  0.003384209  99.83079
90           88     3  0.003384209  99.83417
91           89     4  0.004512279  99.83869
92           90     6  0.006768419  99.84545
93           91     1  0.001128070  99.84658
94           92     6  0.006768419  99.85335
95           93     1  0.001128070  99.85448
96           94     2  0.002256140  99.85674
97           95     2  0.002256140  99.85899
98           96     3  0.003384209  99.86238
99           97     4  0.004512279  99.86689
100          98     4  0.004512279  99.87140
101          99     2  0.002256140  99.87366
102         100     8  0.009024558  99.88268
103         101     3  0.003384209  99.88606
104         102     1  0.001128070  99.88719
105         103     3  0.003384209  99.89058
106         104     4  0.004512279  99.89509
107         105     2  0.002256140  99.89735
108         108     1  0.001128070  99.89847
109         110     1  0.001128070  99.89960
110         112     1  0.001128070  99.90073
111         113     2  0.002256140  99.90299
112         115     1  0.001128070  99.90411
113         116     1  0.001128070  99.90524
114         117     2  0.002256140  99.90750
115         118     1  0.001128070  99.90863
116         119     3  0.003384209  99.91201
117         120     2  0.002256140  99.91427
118         122     1  0.001128070  99.91539
119         123     2  0.002256140  99.91765
120         124     1  0.001128070  99.91878
121         125     1  0.001128070  99.91991
122         128     1  0.001128070  99.92104
123         129     4  0.004512279  99.92555
124         134     1  0.001128070  99.92668
125         137     2  0.002256140  99.92893
126         138     1  0.001128070  99.93006
127         140     1  0.001128070  99.93119
128         143     1  0.001128070  99.93232
129         144     2  0.002256140  99.93457
130         146     1  0.001128070  99.93570
131         147     1  0.001128070  99.93683
132         153     1  0.001128070  99.93796
133         155     1  0.001128070  99.93908
134         158    10  0.011280698  99.95036
135         168     3  0.003384209  99.95375
136         178     1  0.001128070  99.95488
137         186     3  0.003384209  99.95826
138         189     2  0.002256140  99.96052
139         206     2  0.002256140  99.96277
140         212     1  0.001128070  99.96390
141         231     3  0.003384209  99.96729
142         246     1  0.001128070  99.96841
143         262     1  0.001128070  99.96954
144         282     1  0.001128070  99.97067
145         302     1  0.001128070  99.97180
146         351     1  0.001128070  99.97293
147         352     2  0.002256140  99.97518
148         376     1  0.001128070  99.97631
149         390     1  0.001128070  99.97744
150         405     2  0.002256140  99.97969
151         455     1  0.001128070  99.98082
152         456     1  0.001128070  99.98195
153         473     1  0.001128070  99.98308
154         475     1  0.001128070  99.98421
155         500     1  0.001128070  99.98534
156         504     1  0.001128070  99.98646
157         506     1  0.001128070  99.98759
158         507     1  0.001128070  99.98872
159         524     1  0.001128070  99.98985
160         527     1  0.001128070  99.99098
161         556     1  0.001128070  99.99210
162         615     1  0.001128070  99.99323
163         695     1  0.001128070  99.99436
164         782     1  0.001128070  99.99549
165         840     1  0.001128070  99.99662
166         912     1  0.001128070  99.99774
167        1044     1  0.001128070  99.99887
168        1232     1  0.001128070 100.00000

phishing_bruto |> group_by(file_length) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

# A tibble: 264 × 4
# Groups:   file_length [168]
   file_length phishing     n  porc
         <int> <fct>    <int> <dbl>
 1          -1 0        46762 98.4 
 2          -1 1          747  1.57
 3           0 0         7335 37.4 
 4           0 1        12289 62.6 
 5           1 0           62 41.9 
 6           1 1           86 58.1 
 7           2 0          346 60.7 
 8           2 1          224 39.3 
 9           3 0          116 25.6 
10           3 1          337 74.4 
# … with 254 more rows

Vemos que de los 168 valores únicos que hay, únicamente 2 de ellos ya conforman más del 75% del total de registros.

ggplot(phishing_bruto, aes(x = file_length)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por longitud de archivo", 
       x = "Longitud de archivo", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Como podíamos intuír tras observar los datos, apenas podemos distinguir registros superiores a 0.

phishing_bruto |> filter(file_length > 0) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

  phishing     n     porc
1        0  3903 18.14168
2        1 17611 81.85832

Podemos ver que en el 25% de los registros restantes, la proporción de phishing es considerablemente superior que en el nivel 0. Podríamos convertir esta variable en un factor con 3 niveles: -1, 0, >0.

Variables de parámetros

qty_dot_params count (.) in parameters qty_hyphen_params count (-) in parameters qty_underline_params count (_) in parameters qty_slash_params count (/) in parameters qty_questionmark_params count (?) in parameters qty_equal_params count (=) in parameters qty_at_params count (@) in parameters qty_and_params count (&) in parameters qty_exclamation_params count (!) in parameters qty_space_params count ( ) in parameters qty_tilde_params count (~) in parameters qty_comma_params count (,) in parameters qty_plus_params count (+) in parameters qty_asterisk_params count (*) in parameters qty_hashtag_params count (#) in parameters qty_dollar_params count ($) in parameters qty_percent_params count (%) in parameters params_length parameters length tld_present_params TLD presence in arguments qty_params number of parameters

Comprobamos el número de valores únicos en estas variables:

phishing_bruto |> select(contains("params")) |> 
  summarise_all(list(~n_distinct(.)))

  qty_dot_params qty_hyphen_params qty_underline_params
1             18                29                   20
  qty_slash_params qty_questionmark_params qty_equal_params
1               17                       7               21
  qty_at_params qty_and_params qty_exclamation_params
1             6             19                      6
  qty_space_params qty_tilde_params qty_comma_params qty_plus_params
1                4                3                8               8
  qty_asterisk_params qty_hashtag_params qty_dollar_params
1                   4                  2                 5
  qty_percent_params params_length tld_present_params qty_params
1                 38           354                  3         19

Convertimos a factor:

phishing_bruto <-
  phishing_bruto |> mutate(qty_dot_params = as_factor(qty_dot_params),
                           qty_hyphen_params = as_factor(qty_hyphen_params),
                           qty_underline_params = as_factor(qty_underline_params),
                           qty_slash_params = as_factor(qty_slash_params),
                           qty_questionmark_params = as_factor(qty_questionmark_params),
                           qty_equal_params = as_factor(qty_equal_params),
                           qty_at_params = as_factor(qty_at_params),
                           qty_and_params = as_factor(qty_and_params),
                           qty_exclamation_params = as_factor(qty_exclamation_params),
                           qty_space_params = as_factor(qty_space_params),
                           qty_tilde_params = as_factor(qty_tilde_params),
                           qty_comma_params = as_factor(qty_comma_params),
                           qty_plus_params = as_factor(qty_plus_params),
                           qty_asterisk_params = as_factor(qty_asterisk_params),
                           qty_hashtag_params = as_factor(qty_hashtag_params),
                           qty_dollar_params = as_factor(qty_dollar_params),
                           tld_present_params = as_factor(tld_present_params),
                           qty_params = as_factor(qty_params))

No convertimos una vez más las variables de qty_percent y legth.

Params qty grupo 1

Análisis cualitativo:

# qty_at_params
phishing_bruto |> group_by(qty_at_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 8 × 4
# Groups:   qty_at_params [6]
  qty_at_params phishing     n  porc
  <fct>         <fct>    <int> <dbl>
1 -1            0        57306  70.6
2 -1            1        23919  29.4
3 0             0          694  11.9
4 0             1         5155  88.1
5 1             1         1562 100  
6 2             1            9 100  
7 8             1            1 100  
8 10            1            1 100

# qty_and_params
phishing_bruto |> group_by(qty_and_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 32 × 4
# Groups:   qty_and_params [19]
   qty_and_params phishing     n  porc
   <fct>          <fct>    <int> <dbl>
 1 -1             0        57306 70.6 
 2 -1             1        23919 29.4 
 3 0              0          395 10.2 
 4 0              1         3459 89.8 
 5 1              0          116 10.7 
 6 1              1          967 89.3 
 7 2              0          121  9.32
 8 2              1         1177 90.7 
 9 3              0           41 16.5 
10 3              1          208 83.5 
# … with 22 more rows

# qty_exclamation_params
phishing_bruto |> group_by(qty_exclamation_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 8 × 4
# Groups:   qty_exclamation_params [6]
  qty_exclamation_params phishing     n   porc
  <fct>                  <fct>    <int>  <dbl>
1 -1                     0        57306  70.6 
2 -1                     1        23919  29.4 
3 0                      0          694   9.38
4 0                      1         6703  90.6 
5 1                      1           20 100   
6 2                      1            3 100   
7 8                      1            1 100   
8 10                     1            1 100

# qty_space_params
phishing_bruto |> group_by(qty_space_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 6 × 4
# Groups:   qty_space_params [4]
  qty_space_params phishing     n   porc
  <fct>            <fct>    <int>  <dbl>
1 -1               0        57306  70.6 
2 -1               1        23919  29.4 
3 0                0          694   9.36
4 0                1         6724  90.6 
5 1                1            3 100   
6 4                1            1 100

# qty_tilde_params
phishing_bruto |> group_by(qty_tilde_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 5 × 4
# Groups:   qty_tilde_params [3]
  qty_tilde_params phishing     n   porc
  <fct>            <fct>    <int>  <dbl>
1 -1               0        57306  70.6 
2 -1               1        23919  29.4 
3 0                0          694   9.36
4 0                1         6723  90.6 
5 1                1            5 100

# qty_comma_params
phishing_bruto |> group_by(qty_comma_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 10 × 4
# Groups:   qty_comma_params [8]
   qty_comma_params phishing     n   porc
   <fct>            <fct>    <int>  <dbl>
 1 -1               0        57306  70.6 
 2 -1               1        23919  29.4 
 3 0                0          694   9.46
 4 0                1         6639  90.5 
 5 1                1           75 100   
 6 2                1            2 100   
 7 3                1            8 100   
 8 4                1            2 100   
 9 7                1            1 100   
10 11               1            1 100

Visualización:

# qty_at_params
ggplot(phishing_bruto, aes(x = qty_at_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (@) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_and_params
ggplot(phishing_bruto, aes(x = qty_and_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (&) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_exclamation_params
ggplot(phishing_bruto, aes(x = qty_exclamation_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (!) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_space_params
ggplot(phishing_bruto, aes(x = qty_space_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de ( ) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_tilde_params
ggplot(phishing_bruto, aes(x = qty_tilde_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (~) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_comma_params
ggplot(phishing_bruto, aes(x = qty_comma_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (,) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Vemos que en todas las variables tenemos la mayoría de datos concentrados en el nivel -1, donde la probabilidad de que la web sea de phishing es del 29% aproximadamente. Por otro lado, los demás niveles tienen muchos menos registros y en todos la probabilidad de phishing es cercana o superior al 90%. Por lo tanto, podríamos aplicar la misma transformación para cada una de ellas:

Conclusiones:

qty_at_params: -1, >=0.
qty_and_params: -1, >=0.
qty_exclamation_params: -1, >=0.
qty_space_params: -1, >=0.
qty_tilde_params: -1, >=0.
qty_comma_params: -1, >=0.

Params qty grupo 2

Análisis cuantitativo:

# qty_dot_params
phishing_bruto |> group_by(qty_dot_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 26 × 4
# Groups:   qty_dot_params [18]
   qty_dot_params phishing     n   porc
   <fct>          <fct>    <int>  <dbl>
 1 -1             0        57306 70.6  
 2 -1             1        23919 29.4  
 3 0              0          652 15.5  
 4 0              1         3551 84.5  
 5 1              0           15  0.974
 6 1              1         1525 99.0  
 7 2              0            7  0.844
 8 2              1          822 99.2  
 9 3              0           11  6.15 
10 3              1          168 93.9  
# … with 16 more rows

# qty_hyphen_params
phishing_bruto |> count(qty_hyphen_params) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_hyphen_params     n         porc     cumul
1                 -1 81225 91.627466243  91.62747
2                  0  6054  6.829334326  98.45680
3                  1   815  0.919376854  99.37618
4                  2   174  0.196284138  99.57246
5                  3    87  0.098142069  99.67060
6                  4   169  0.190643789  99.86125
7                  5    32  0.036098232  99.89735
8                  6    20  0.022561395  99.91991
9                  7    11  0.012408767  99.93232
10                 8    10  0.011280698  99.94360
11                 9     2  0.002256140  99.94585
12                10     3  0.003384209  99.94924
13                11     6  0.006768419  99.95601
14                12    12  0.013536837  99.96954
15                13     5  0.005640349  99.97518
16                14     3  0.003384209  99.97857
17                15     1  0.001128070  99.97969
18                16     1  0.001128070  99.98082
19                17     1  0.001128070  99.98195
20                18     3  0.003384209  99.98534
21                19     2  0.002256140  99.98759
22                20     1  0.001128070  99.98872
23                21     1  0.001128070  99.98985
24                25     2  0.002256140  99.99210
25                26     2  0.002256140  99.99436
26                27     2  0.002256140  99.99662
27                31     1  0.001128070  99.99774
28                34     1  0.001128070  99.99887
29                35     1  0.001128070 100.00000

phishing_bruto |> group_by(qty_hyphen_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 37 × 4
# Groups:   qty_hyphen_params [29]
   qty_hyphen_params phishing     n    porc
   <fct>             <fct>    <int>   <dbl>
 1 -1                0        57306  70.6  
 2 -1                1        23919  29.4  
 3 0                 0          653  10.8  
 4 0                 1         5401  89.2  
 5 1                 0           27   3.31 
 6 1                 1          788  96.7  
 7 2                 0           10   5.75 
 8 2                 1          164  94.3  
 9 3                 1           87 100    
10 4                 0            1   0.592
# … with 27 more rows

# qty_underline_params
phishing_bruto |> group_by(qty_underline_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 25 × 4
# Groups:   qty_underline_params [20]
   qty_underline_params phishing     n  porc
   <fct>                <fct>    <int> <dbl>
 1 -1                   0        57306 70.6 
 2 -1                   1        23919 29.4 
 3 0                    0          598 11.5 
 4 0                    1         4584 88.5 
 5 1                    0           78  5.78
 6 1                    1         1271 94.2 
 7 2                    0           14  4.39
 8 2                    1          305 95.6 
 9 3                    0            4  1.55
10 3                    1          254 98.4 
# … with 15 more rows

# qty_slash_params
phishing_bruto |> group_by(qty_slash_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 23 × 4
# Groups:   qty_slash_params [17]
   qty_slash_params phishing     n  porc
   <fct>            <fct>    <int> <dbl>
 1 -1               0        57306 70.6 
 2 -1               1        23919 29.4 
 3 0                0          666  9.96
 4 0                1         6023 90.0 
 5 1                0           21  8.17
 6 1                1          236 91.8 
 7 2                0            2  2.82
 8 2                1           69 97.2 
 9 3                0            4  3.08
10 3                1          126 96.9 
# … with 13 more rows

# qty_questionmark_params
phishing_bruto |> group_by(qty_questionmark_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 10 × 4
# Groups:   qty_questionmark_params [7]
   qty_questionmark_params phishing     n    porc
   <fct>                   <fct>    <int>   <dbl>
 1 -1                      0        57306  70.6  
 2 -1                      1        23919  29.4  
 3 0                       0          693  10.3  
 4 0                       1         6029  89.7  
 5 1                       0            1   0.149
 6 1                       1          672  99.9  
 7 2                       1           21 100    
 8 3                       1            3 100    
 9 7                       1            1 100    
10 9                       1            2 100

# qty_equal_params
phishing_bruto |> group_by(qty_equal_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 35 × 4
# Groups:   qty_equal_params [21]
   qty_equal_params phishing     n  porc
   <fct>            <fct>    <int> <dbl>
 1 -1               0        57306 70.6 
 2 -1               1        23919 29.4 
 3 0                0            9  1.35
 4 0                1          656 98.6 
 5 1                0          389 12.3 
 6 1                1         2782 87.7 
 7 2                0          115  9.71
 8 2                1         1069 90.3 
 9 3                0          120  9.24
10 3                1         1179 90.8 
# … with 25 more rows

Visualización:

# qty_dot_params
ggplot(phishing_bruto, aes(x = qty_dot_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (.) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_hyphen_params
ggplot(phishing_bruto, aes(x = qty_hyphen_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (-) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_underline_params
ggplot(phishing_bruto, aes(x = qty_exclamation_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (_) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_slash_params
ggplot(phishing_bruto, aes(x = qty_slash_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (/) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_questionmark_params
ggplot(phishing_bruto, aes(x = qty_questionmark_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (?) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_equal_params
ggplot(phishing_bruto, aes(x = qty_equal_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (=) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Observando tanto el número de registros por nivel como sus proporciones en función de la objetivo, sucede lo mismo que en el grupo anterior de variables tipo cantidad en parámetros. Podríamos volver a convertirlas en factor con las siguientes normas de agrupamiento:

Conclusiones:

qty_dot_file: -1, >=0.
qty_hyphen_file: -1, >=0.
qty_underline_file: -1, >=0.
qty_slash_file: -1, >=0.
qty_questionmark_file: -1, >=0.
qty_equal_file: -1, >0.

Params qty grupo 3

Análisis cuantitativo:

# qty_plus_params
phishing_bruto |> group_by(qty_plus_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 13 × 4
# Groups:   qty_plus_params [8]
   qty_plus_params phishing     n   porc
   <fct>           <fct>    <int>  <dbl>
 1 -1              0        57306  70.6 
 2 -1              1        23919  29.4 
 3 0               0          637   8.69
 4 0               1         6692  91.3 
 5 1               0           52  75.4 
 6 1               1           17  24.6 
 7 2               0            4  30.8 
 8 2               1            9  69.2 
 9 3               1            3 100   
10 4               0            1  33.3 
11 4               1            2  66.7 
12 5               1            1 100   
13 6               1            4 100

# qty_asterisk_params
phishing_bruto |> group_by(qty_asterisk_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 6 × 4
# Groups:   qty_asterisk_params [4]
  qty_asterisk_params phishing     n   porc
  <fct>               <fct>    <int>  <dbl>
1 -1                  0        57306  70.6 
2 -1                  1        23919  29.4 
3 0                   0          694   9.36
4 0                   1         6723  90.6 
5 1                   1            4 100   
6 4                   1            1 100

# qty_hashtag_params
phishing_bruto |> group_by(qty_hashtag_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 4 × 4
# Groups:   qty_hashtag_params [2]
  qty_hashtag_params phishing     n  porc
  <fct>              <fct>    <int> <dbl>
1 -1                 0        57306 70.6 
2 -1                 1        23919 29.4 
3 0                  0          694  9.35
4 0                  1         6728 90.6

# qty_dollar_params
phishing_bruto |> group_by(qty_dollar_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 7 × 4
# Groups:   qty_dollar_params [5]
  qty_dollar_params phishing     n   porc
  <fct>             <fct>    <int>  <dbl>
1 -1                0        57306  70.6 
2 -1                1        23919  29.4 
3 0                 0          694   9.37
4 0                 1         6713  90.6 
5 1                 1            6 100   
6 3                 1            8 100   
7 4                 1            1 100

# qty_percent_params
phishing_bruto |> count(qty_percent_params) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

   qty_percent_params     n         porc     cumul
1                  -1 81225 91.627466243  91.62747
2                   0  6747  7.611086670  99.23855
3                   1   144  0.162442045  99.40099
4                   2   140  0.157929766  99.55892
5                   3    21  0.023689465  99.58261
6                   4    59  0.066556116  99.64917
7                   5    43  0.048507000  99.69768
8                   6    40  0.045122790  99.74280
9                   7    13  0.014664907  99.75747
10                  8    20  0.022561395  99.78003
11                  9    30  0.033842093  99.81387
12                 10    22  0.024817535  99.83869
13                 11     4  0.004512279  99.84320
14                 12    17  0.019177186  99.86238
15                 13     5  0.005640349  99.86802
16                 14    15  0.016921046  99.88494
17                 15     8  0.009024558  99.89396
18                 16    11  0.012408767  99.90637
19                 17     6  0.006768419  99.91314
20                 18    16  0.018049116  99.93119
21                 19     6  0.006768419  99.93796
22                 20    12  0.013536837  99.95149
23                 21     6  0.006768419  99.95826
24                 22     8  0.009024558  99.96729
25                 23     2  0.002256140  99.96954
26                 26     6  0.006768419  99.97631
27                 27     2  0.002256140  99.97857
28                 28     3  0.003384209  99.98195
29                 29     1  0.001128070  99.98308
30                 30     2  0.002256140  99.98534
31                 32     3  0.003384209  99.98872
32                 35     1  0.001128070  99.98985
33                 36     1  0.001128070  99.99098
34                 39     1  0.001128070  99.99210
35                 51     4  0.004512279  99.99662
36                 52     1  0.001128070  99.99774
37                 62     1  0.001128070  99.99887
38                 65     1  0.001128070 100.00000

phishing_bruto |> group_by(qty_percent_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 61 × 4
# Groups:   qty_percent_params [38]
   qty_percent_params phishing     n  porc
                <int> <fct>    <int> <dbl>
 1                 -1 0        57306 70.6 
 2                 -1 1        23919 29.4 
 3                  0 0          548  8.12
 4                  0 1         6199 91.9 
 5                  1 0           11  7.64
 6                  1 1          133 92.4 
 7                  2 0           13  9.29
 8                  2 1          127 90.7 
 9                  3 0            1  4.76
10                  3 1           20 95.2 
# … with 51 more rows

# qty_params
phishing_bruto |> group_by(qty_params) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 32 × 4
# Groups:   qty_params [19]
   qty_params phishing     n  porc
   <fct>      <fct>    <int> <dbl>
 1 -1         0        57306 70.6 
 2 -1         1        23919 29.4 
 3 0          0           11  1.22
 4 0          1          891 98.8 
 5 1          0          388 11.8 
 6 1          1         2913 88.2 
 7 2          0          178 15.4 
 8 2          1          976 84.6 
 9 3          0           77  5.90
10 3          1         1228 94.1 
# … with 22 more rows

Visualización:

# qty_plus_params
ggplot(phishing_bruto, aes(x = qty_plus_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (+) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_asterisk_params
ggplot(phishing_bruto, aes(x = qty_asterisk_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (*) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_hashtag_params
ggplot(phishing_bruto, aes(x = qty_hashtag_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (#) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_dollar_params
ggplot(phishing_bruto, aes(x = qty_dollar_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de ($) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_percent_params
ggplot(phishing_bruto, aes(x = qty_percent_params)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de (%) en parámetros", 
       x = "cantidad de (.)", y = "Recuento", fill = "Phishing") +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

# qty_params
ggplot(phishing_bruto, aes(x = qty_params)) + 
  geom_bar(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por cantidad de parámetros", 
       x = "cantidad de parámetros", y = "Recuento", fill = "Phishing") +
      geom_text(aes(label = after_stat(count)), stat = "count", vjust = -1, hjust = 0.5) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Conclusiones:

qty_plus_params: Vemos que hay más frecuencia de webs legítimas en los niveles con muy pocos registros. Lo mejor en este caso sería realizar el agrupamiento de estos con el nivel -1, ya que presenta mayor proporción de este tipo de webs y cuenta con un mayor número de registros (lo que no alteraría en gran medida sus proporciones con la objetivo): -1, 0 -> agrupamiento en -1.
qty_asterisk_params: Volvemos a realizar el agrupamiento junto con el segundo nivel más frecuente, donde el phishing es mucho más probable: -1, >=0.
qty_hashtag_params: La dejamos como está.
qty_dollar_params: Una vez más vemos en los niveles con pocos registros que están solo las webs de phishing presentes: -1, >=0.
qty_percent_params: el 99% de los registros se encuentran en el -1 y el 0, donde el primero contiene el 90% de los datos.

phishing_bruto |> filter(qty_percent_params > 0) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing   n     porc
1        0 146 21.62963
2        1 529 78.37037

Vemos que casi el 80% de las webs cuando la cantidad de % en los parámetros es mayor que 0, son de phishing. También, antes habíamos podido ver que cuando la característica no se aplica, volvemos a tener un 29% de este tipo de webs, y cuando la cantidad sí se aplica pero es 0, el phishing asciende al 91%. Por lo tanto, podríamos convertir esta variable en un factor con dos niveles: cuando no se aplica la característica y cuando sí lo hace: -1, >=0.

qty_params: Una vez más, cuando la característica se aplica, la probabilidad de phishing está cercana o es superior al 90%. Mientras que, cuando no se aplica esta es inferior a las globales (29%). Podríamos volver a convertir a factor y agrupar niveles: -1, >=0.

Variable params lenght

Variable que indica la longitud de caracteres en el parámetro.

phishing_bruto |> count(params_length) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(n))

    params_length     n         porc cumul
1              -1 81225 91.627466243 81225
2               1    22  0.024817535 81247
3               2    29  0.032714023 81276
4               3    94  0.106038557 81370
5               4    73  0.082349092 81443
6               5    79  0.089117511 81522
7               6   139  0.156801697 81661
8               7    89  0.100398209 81750
9               8   125  0.141008720 81875
10              9   139  0.156801697 82014
11             10    83  0.093629790 82097
12             11   106  0.119575395 82203
13             12   104  0.117319255 82307
14             13   137  0.154545557 82444
15             14    83  0.093629790 82527
16             15    66  0.074452604 82593
17             16   164  0.185003441 82757
18             17    77  0.086861372 82834
19             18    88  0.099270139 82922
20             19   107  0.120703464 83029
21             20   117  0.131984162 83146
22             21   148  0.166954324 83294
23             22   157  0.177106952 83451
24             23   212  0.239150789 83663
25             24   121  0.136496441 83784
26             25   103  0.116191185 83887
27             26   115  0.129728022 84002
28             27   175  0.197412208 84177
29             28    84  0.094757860 84261
30             29   100  0.112806976 84361
31             30    84  0.094757860 84445
32             31    96  0.108294697 84541
33             32    81  0.091373651 84622
34             33    86  0.097013999 84708
35             34    25  0.028201744 84733
36             35    38  0.042866651 84771
37             36    79  0.089117511 84850
38             37    28  0.031585953 84878
39             38    54  0.060915767 84932
40             39    37  0.041738581 84969
41             40    69  0.077836813 85038
42             41    40  0.045122790 85078
43             42   163  0.183875371 85241
44             43    21  0.023689465 85262
45             44    32  0.036098232 85294
46             45    20  0.022561395 85314
47             46    40  0.045122790 85354
48             47    29  0.032714023 85383
49             48    41  0.046250860 85424
50             49    22  0.024817535 85446
51             50    24  0.027073674 85470
52             51    36  0.040610511 85506
53             52    32  0.036098232 85538
54             53    27  0.030457884 85565
55             54    15  0.016921046 85580
56             55    14  0.015792977 85594
57             56    19  0.021433325 85613
58             57    19  0.021433325 85632
59             58    24  0.027073674 85656
60             59    51  0.057531558 85707
61             60    19  0.021433325 85726
62             61    19  0.021433325 85745
63             62    34  0.038354372 85779
64             63    24  0.027073674 85803
65             64    54  0.060915767 85857
66             65    28  0.031585953 85885
67             66    16  0.018049116 85901
68             67    32  0.036098232 85933
69             68    24  0.027073674 85957
70             69    21  0.023689465 85978
71             70    28  0.031585953 86006
72             71    24  0.027073674 86030
73             72    27  0.030457884 86057
74             73    58  0.065428046 86115
75             74    50  0.056403488 86165
76             75    49  0.055275418 86214
77             76    16  0.018049116 86230
78             77    17  0.019177186 86247
79             78    15  0.016921046 86262
80             79    22  0.024817535 86284
81             80     5  0.005640349 86289
82             81    18  0.020305256 86307
83             82    26  0.029329814 86333
84             83    35  0.039482442 86368
85             84    53  0.059787697 86421
86             85    14  0.015792977 86435
87             86    11  0.012408767 86446
88             87    68  0.076708744 86514
89             88     6  0.006768419 86520
90             89    14  0.015792977 86534
91             90    29  0.032714023 86563
92             91     5  0.005640349 86568
93             92    17  0.019177186 86585
94             93    15  0.016921046 86600
95             94     9  0.010152628 86609
96             95    13  0.014664907 86622
97             96    10  0.011280698 86632
98             97     7  0.007896488 86639
99             98    12  0.013536837 86651
100            99    13  0.014664907 86664
101           100    20  0.022561395 86684
102           101     8  0.009024558 86692
103           102     8  0.009024558 86700
104           103     7  0.007896488 86707
105           104    12  0.013536837 86719
106           105     7  0.007896488 86726
107           106     9  0.010152628 86735
108           107     7  0.007896488 86742
109           108     7  0.007896488 86749
110           109    16  0.018049116 86765
111           110    13  0.014664907 86778
112           111    16  0.018049116 86794
113           112    14  0.015792977 86808
114           113     7  0.007896488 86815
115           114    19  0.021433325 86834
116           115    21  0.023689465 86855
117           116    16  0.018049116 86871
118           117     5  0.005640349 86876
119           118    15  0.016921046 86891
120           119    35  0.039482442 86926
121           120    11  0.012408767 86937
122           121     6  0.006768419 86943
123           122     9  0.010152628 86952
124           123     7  0.007896488 86959
125           124     6  0.006768419 86965
126           125    16  0.018049116 86981
127           126     6  0.006768419 86987
128           127     8  0.009024558 86995
129           128     3  0.003384209 86998
130           129     3  0.003384209 87001
131           130     4  0.004512279 87005
132           131    41  0.046250860 87046
133           132     8  0.009024558 87054
134           134     4  0.004512279 87058
135           135     7  0.007896488 87065
136           136     6  0.006768419 87071
137           137    12  0.013536837 87083
138           139    11  0.012408767 87094
139           140     6  0.006768419 87100
140           141     2  0.002256140 87102
141           142     6  0.006768419 87108
142           143     5  0.005640349 87113
143           144     8  0.009024558 87121
144           145     7  0.007896488 87128
145           146     3  0.003384209 87131
146           147     2  0.002256140 87133
147           148     7  0.007896488 87140
148           149    12  0.013536837 87152
149           150     4  0.004512279 87156
150           151     1  0.001128070 87157
151           152     4  0.004512279 87161
152           153     4  0.004512279 87165
153           154     9  0.010152628 87174
154           155     9  0.010152628 87183
155           156     4  0.004512279 87187
156           157   120  0.135368371 87307
157           158     4  0.004512279 87311
158           159     9  0.010152628 87320
159           160     8  0.009024558 87328
160           161    12  0.013536837 87340
161           162     9  0.010152628 87349
162           163     4  0.004512279 87353
163           164    16  0.018049116 87369
164           165   527  0.594492763 87896
165           166     8  0.009024558 87904
166           167     5  0.005640349 87909
167           168    10  0.011280698 87919
168           169     4  0.004512279 87923
169           170     2  0.002256140 87925
170           171    14  0.015792977 87939
171           172     6  0.006768419 87945
172           173    43  0.048507000 87988
173           174    44  0.049635069 88032
174           175    13  0.014664907 88045
175           176     7  0.007896488 88052
176           177     9  0.010152628 88061
177           178     9  0.010152628 88070
178           179     8  0.009024558 88078
179           180     9  0.010152628 88087
180           181     4  0.004512279 88091
181           182     4  0.004512279 88095
182           183     6  0.006768419 88101
183           184     6  0.006768419 88107
184           185     4  0.004512279 88111
185           186     6  0.006768419 88117
186           187     4  0.004512279 88121
187           188     4  0.004512279 88125
188           189     5  0.005640349 88130
189           190    11  0.012408767 88141
190           191     6  0.006768419 88147
191           192     3  0.003384209 88150
192           193    10  0.011280698 88160
193           194     9  0.010152628 88169
194           195     9  0.010152628 88178
195           196     5  0.005640349 88183
196           197     3  0.003384209 88186
197           198     6  0.006768419 88192
198           199     5  0.005640349 88197
199           200     1  0.001128070 88198
200           201     2  0.002256140 88200
201           202     1  0.001128070 88201
202           203     2  0.002256140 88203
203           204     3  0.003384209 88206
204           206     2  0.002256140 88208
205           207     2  0.002256140 88210
206           208     5  0.005640349 88215
207           209    18  0.020305256 88233
208           210     3  0.003384209 88236
209           211     5  0.005640349 88241
210           212     2  0.002256140 88243
211           213     3  0.003384209 88246
212           214    40  0.045122790 88286
213           215     3  0.003384209 88289
214           216     4  0.004512279 88293
215           217     4  0.004512279 88297
216           218     3  0.003384209 88300
217           219     3  0.003384209 88303
218           220     7  0.007896488 88310
219           221     2  0.002256140 88312
220           222     5  0.005640349 88317
221           223     3  0.003384209 88320
222           224     8  0.009024558 88328
223           225     4  0.004512279 88332
224           226     9  0.010152628 88341
225           227    13  0.014664907 88354
226           228     6  0.006768419 88360
227           229     9  0.010152628 88369
228           230    13  0.014664907 88382
229           231     8  0.009024558 88390
230           232     3  0.003384209 88393
231           233     4  0.004512279 88397
232           234     3  0.003384209 88400
233           235    12  0.013536837 88412
234           236    19  0.021433325 88431
235           237     3  0.003384209 88434
236           238     4  0.004512279 88438
237           239     6  0.006768419 88444
238           240     2  0.002256140 88446
239           241     7  0.007896488 88453
240           242     9  0.010152628 88462
241           243     5  0.005640349 88467
242           245     2  0.002256140 88469
243           246     5  0.005640349 88474
244           247     3  0.003384209 88477
245           248     1  0.001128070 88478
246           250     1  0.001128070 88479
247           251     4  0.004512279 88483
248           252     1  0.001128070 88484
249           253     1  0.001128070 88485
250           254     1  0.001128070 88486
251           255     3  0.003384209 88489
252           257     7  0.007896488 88496
253           258     4  0.004512279 88500
254           259     3  0.003384209 88503
255           260     2  0.002256140 88505
256           261     2  0.002256140 88507
257           262     1  0.001128070 88508
258           264     3  0.003384209 88511
259           265     1  0.001128070 88512
260           266     2  0.002256140 88514
261           267     2  0.002256140 88516
262           268     4  0.004512279 88520
263           269     1  0.001128070 88521
264           271     1  0.001128070 88522
265           272     1  0.001128070 88523
266           273     2  0.002256140 88525
267           274     2  0.002256140 88527
268           275     1  0.001128070 88528
269           276    10  0.011280698 88538
270           277     2  0.002256140 88540
271           278     1  0.001128070 88541
272           281     1  0.001128070 88542
273           283     2  0.002256140 88544
274           284     1  0.001128070 88545
275           285     3  0.003384209 88548
276           286     3  0.003384209 88551
277           287     1  0.001128070 88552
278           288     1  0.001128070 88553
279           289     3  0.003384209 88556
280           290     3  0.003384209 88559
281           293     1  0.001128070 88560
282           295     1  0.001128070 88561
283           296     2  0.002256140 88563
284           297     1  0.001128070 88564
285           298     1  0.001128070 88565
286           304     2  0.002256140 88567
287           308     1  0.001128070 88568
288           309     1  0.001128070 88569
289           310     2  0.002256140 88571
290           311     1  0.001128070 88572
291           312     2  0.002256140 88574
292           313     1  0.001128070 88575
293           315     1  0.001128070 88576
294           319     1  0.001128070 88577
295           322     1  0.001128070 88578
296           323     1  0.001128070 88579
297           324     1  0.001128070 88580
298           331     1  0.001128070 88581
299           333     1  0.001128070 88582
300           337     1  0.001128070 88583
301           340     1  0.001128070 88584
302           342     1  0.001128070 88585
303           344     1  0.001128070 88586
304           345     1  0.001128070 88587
305           357     1  0.001128070 88588
306           377     1  0.001128070 88589
307           384     1  0.001128070 88590
308           396     1  0.001128070 88591
309           401     1  0.001128070 88592
310           408     1  0.001128070 88593
311           418     2  0.002256140 88595
312           428     1  0.001128070 88596
313           447     1  0.001128070 88597
314           453     1  0.001128070 88598
315           458     1  0.001128070 88599
316           459     1  0.001128070 88600
317           460     1  0.001128070 88601
318           461     1  0.001128070 88602
319           462     1  0.001128070 88603
320           464     1  0.001128070 88604
321           470     1  0.001128070 88605
322           473     1  0.001128070 88606
323           488     5  0.005640349 88611
324           492     1  0.001128070 88612
325           513     1  0.001128070 88613
326           523     1  0.001128070 88614
327           536     1  0.001128070 88615
328           538     1  0.001128070 88616
329           543     1  0.001128070 88617
330           551     1  0.001128070 88618
331           557     1  0.001128070 88619
332           565     1  0.001128070 88620
333           579     1  0.001128070 88621
334           589     2  0.002256140 88623
335           596     1  0.001128070 88624
336           606     2  0.002256140 88626
337           617     1  0.001128070 88627
338           664     2  0.002256140 88629
339           667     1  0.001128070 88630
340           676     1  0.001128070 88631
341           700     3  0.003384209 88634
342           702     1  0.001128070 88635
343           704     1  0.001128070 88636
344           713     1  0.001128070 88637
345           785     1  0.001128070 88638
346           808     1  0.001128070 88639
347           823     1  0.001128070 88640
348           879     1  0.001128070 88641
349           885     1  0.001128070 88642
350           889     1  0.001128070 88643
351           941     1  0.001128070 88644
352          1191     1  0.001128070 88645
353          1950     1  0.001128070 88646
354          4094     1  0.001128070 88647

phishing_bruto |> group_by(params_length) |> count(phishing) |> 
  mutate(porc = 100*n/sum(n))

# A tibble: 446 × 4
# Groups:   params_length [354]
   params_length phishing     n   porc
           <int> <fct>    <int>  <dbl>
 1            -1 0        57306  70.6 
 2            -1 1        23919  29.4 
 3             1 1           22 100   
 4             2 1           29 100   
 5             3 0            2   2.13
 6             3 1           92  97.9 
 7             4 0           11  15.1 
 8             4 1           62  84.9 
 9             5 0           10  12.7 
10             5 1           69  87.3 
# … with 436 more rows

Vemos que solamente un valor que puede tomar la variable (-1) de los 354 posibles, ya presenta más del 90% de los registros donde volvemos a ver una proporción de webs de phishing del 29%.

phishing_bruto |> filter(params_length >= 0) |> 
  count(phishing) |> mutate(porc = 100*n/sum(n))

  phishing    n      porc
1        0  694  9.350579
2        1 6728 90.649421

Por otro lado vemos que para el resto de valores, cuando la característica se aplica, teniendo o no cantidad de caracteres, la probabilidad de que la web sea de phishing es superior al 90%.

phishing_bruto |> summarise(min = min(params_length),
                            max = max(params_length))

  min  max
1  -1 4094

Como era de esperar, tenemos un valor máximo muy elevado.

ggplot(phishing_bruto, aes(x = params_length)) + 
  geom_histogram(aes(fill = phishing), alpha = 0.7) +
  labs(title = "Webs de Phishing por longitud del parámetro", 
       x = "Longitud de la URL", y = "Recuento", fill = "Phishing") +
    scale_y_continuous(breaks = seq(0, 8000000, 15000)) +
  scale_x_continuous(breaks = seq(0, 4000, 500)) +
  scale_fill_manual(values = c("#6C3483", "#FEDD00")) +
  theme_minimal()

Viendo el gráfico, carece de sentido tener unos valores tan altos en la variable, la distribución es muy asimétrica. Teniendo en cuenta la información anterior, podríamos simplificar en gran medida esta variable convirtiéndola a factor y creando dos únicos niveles: -1, >=1.

Variable tld_presents_params

Variable que indica si el enlace presenta los caracteres tld en los parámetros.

phishing_bruto |> count(tld_present_params) |> 
  mutate(porc = 100*n/sum(n), cumul = cumsum(porc))

  tld_present_params     n      porc     cumul
1                 -1 81225 91.627466  91.62747
2                  0  5247  5.918982  97.54645
3                  1  2175  2.453552 100.00000

phishing_bruto |> group_by(tld_present_params) |> 
  count(phishing) |> mutate(porc = 100*n / sum(n))

# A tibble: 6 × 4
# Groups:   tld_present_params [3]
  tld_present_params phishing     n   porc
  <fct>              <fct>    <int>  <dbl>
1 -1                 0        57306 70.6  
2 -1                 1        23919 29.4  
3 0                  0          675 12.9  
4 0                  1         4572 87.1  
5 1                  0           19  0.874
6 1                  1         2156 99.1

Vemos que uno de los 3 niveles (-1) ya contiene más del 90% de los datos totales. Si nos fijamos en su distribución con la objetivo, los otros dos niveles presentan una proporción de webs de pshishing del 87% y 99% respectivamente. Por otro lado, volvemos a tener un 29% de phishing en el nivel más frecuente. Teniendo en cuenta el número de observaciones por nivel y la distribución de los tipos de web, podríamos simplificar esta variable conviritiendola a factor y diferenciando 2 niveles: -1, >=0.

Técnicas de machine learning para la detección de páginas web de phishing

Objetivo

Librerías

Datos

Análisis exploratorio inicial

Fases 1-2-3 de Muestreo, Exploración y Modificación

Muestreo

Exploración

Variables de URL

REVISAVariable qty_dot_url

Variable qty_hyphen_url

Variables restantes de tipo URL

URL qty grupo 1

URL qty grupo 2

URL qty grupo 3

URL qty grupo 4

Variable length_url

Variable email_in_url

Variable url_google_index

Variable url_shortened

Variables de dominio

AQUIDominio qty grupo 1

Dominio qty grupo 2

Dominio qty grupo 3

Variable domain_length

Variable domain_in_ip

Variable server_client_domain

Variable domain_spf

Variable time_domain_activation y time_domain_expiration

Variables de directorio

Directory qty grupo 1

Directory qty grupo 2

Directory qty grupo 3

Directory qty grupo 4

Variable directory_length

Variables de file

File qty grupo 1

File qty grupo 2

File qty grupo 3

Variable file length

Variables de parámetros

Params qty grupo 1

Params qty grupo 2

Params qty grupo 3

Variable params lenght

Variable tld_presents_params